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Simplifying 0 = (((((((((10000 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x Reorder the terms for easier multiplication: 0 = ((((((((1.01(10000 + -1x) + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x 0 = (((((((((10000 * 1.01 + -1x * 1.01) + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x 0 = (((((((((10100 + -1.01x) + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x Combine like terms: -1.01x + -1x = -2.01x 0 = ((((((((10100 + -2.01x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x Reorder the terms for easier multiplication: 0 = (((((((1.01(10100 + -2.01x) + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x 0 = ((((((((10100 * 1.01 + -2.01x * 1.01) + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x 0 = ((((((((10201 + -2.0301x) + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x Combine like terms: -2.0301x + -1x = -3.0301x 0 = (((((((10201 + -3.0301x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x Reorder the terms for easier multiplication: 0 = ((((((1.01(10201 + -3.0301x) + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x 0 = (((((((10201 * 1.01 + -3.0301x * 1.01) + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x 0 = (((((((10303.01 + -3.060401x) + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x Combine like terms: -3.060401x + -1x = -4.060401x 0 = ((((((10303.01 + -4.060401x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x Reorder the terms for easier multiplication: 0 = (((((1.01(10303.01 + -4.060401x) + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x 0 = ((((((10303.01 * 1.01 + -4.060401x * 1.01) + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x 0 = ((((((10406.0401 + -4.10100501x) + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x Combine like terms: -4.10100501x + -1x = -5.10100501x 0 = (((((10406.0401 + -5.10100501x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x Reorder the terms for easier multiplication: 0 = ((((1.01(10406.0401 + -5.10100501x) + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x 0 = (((((10406.0401 * 1.01 + -5.10100501x * 1.01) + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x 0 = (((((10510.1005 + -5.15201506x) + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x Combine like terms: -5.15201506x + -1x = -6.15201506x 0 = ((((10510.1005 + -6.15201506x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x Reorder the terms for easier multiplication: 0 = (((1.01(10510.1005 + -6.15201506x) + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x 0 = ((((10510.1005 * 1.01 + -6.15201506x * 1.01) + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x 0 = ((((10615.20151 + -6.213535211x) + -1x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x Combine like terms: -6.213535211x + -1x = -7.213535211x 0 = (((10615.20151 + -7.213535211x) * 1.01 + -1x) * 1.01 + -1x) * 1.01 + -1x Reorder the terms for easier multiplication: 0 = ((1.01(10615.20151 + -7.213535211x) + -1x) * 1.01 + -1x) * 1.01 + -1x 0 = (((10615.20151 * 1.01 + -7.213535211x * 1.01) + -1x) * 1.01 + -1x) * 1.01 + -1x 0 = (((10721.35353 + -7.285670563x) + -1x) * 1.01 + -1x) * 1.01 + -1x Combine like terms: -7.285670563x + -1x = -8.285670563x 0 = ((10721.35353 + -8.285670563x) * 1.01 + -1x) * 1.01 + -1x Reorder the terms for easier multiplication: 0 = (1.01(10721.35353 + -8.285670563x) + -1x) * 1.01 + -1x 0 = ((10721.35353 * 1.01 + -8.285670563x * 1.01) + -1x) * 1.01 + -1x 0 = ((10828.56707 + -8.368527269x) + -1x) * 1.01 + -1x Combine like terms: -8.368527269x + -1x = -9.368527269x 0 = (10828.56707 + -9.368527269x) * 1.01 + -1x Reorder the terms for easier multiplication: 0 = 1.01(10828.56707 + -9.368527269x) + -1x 0 = (10828.56707 * 1.01 + -9.368527269x * 1.01) + -1x 0 = (10936.85274 + -9.462212542x) + -1x Combine like terms: -9.462212542x + -1x = -10.462212542x 0 = 10936.85274 + -10.462212542x Solving 0 = 10936.85274 + -10.462212542x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.462212542x' to each side of the equation. 0 + 10.462212542x = 10936.85274 + -10.462212542x + 10.462212542x Remove the zero: 10.462212542x = 10936.85274 + -10.462212542x + 10.462212542x Combine like terms: -10.462212542x + 10.462212542x = 0.000000000 10.462212542x = 10936.85274 + 0.000000000 10.462212542x = 10936.85274 Divide each side by '10.462212542'. x = 1045.367096 Simplifying x = 1045.367096
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