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Simplifying 0 = ((1000 + -1x) * 1.01) + -1x Reorder the terms for easier multiplication: 0 = (1.01(1000 + -1x)) + -1x 0 = ((1000 * 1.01 + -1x * 1.01)) + -1x 0 = ((1010 + -1.01x)) + -1x 0 = (1010 + -1.01x) + -1x Remove parenthesis around (1010 + -1.01x) 0 = 1010 + -1.01x + -1x Combine like terms: -1.01x + -1x = -2.01x 0 = 1010 + -2.01x Solving 0 = 1010 + -2.01x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.01x' to each side of the equation. 0 + 2.01x = 1010 + -2.01x + 2.01x Remove the zero: 2.01x = 1010 + -2.01x + 2.01x Combine like terms: -2.01x + 2.01x = 0.00 2.01x = 1010 + 0.00 2.01x = 1010 Divide each side by '2.01'. x = 502.4875622 Simplifying x = 502.4875622
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