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Simplifying 1.06(53 + x) = 83 + x (53 * 1.06 + x * 1.06) = 83 + x (56.18 + 1.06x) = 83 + x Solving 56.18 + 1.06x = 83 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 56.18 + 1.06x + -1x = 83 + x + -1x Combine like terms: 1.06x + -1x = 0.06x 56.18 + 0.06x = 83 + x + -1x Combine like terms: x + -1x = 0 56.18 + 0.06x = 83 + 0 56.18 + 0.06x = 83 Add '-56.18' to each side of the equation. 56.18 + -56.18 + 0.06x = 83 + -56.18 Combine like terms: 56.18 + -56.18 = 0.00 0.00 + 0.06x = 83 + -56.18 0.06x = 83 + -56.18 Combine like terms: 83 + -56.18 = 26.82 0.06x = 26.82 Divide each side by '0.06'. x = 447 Simplifying x = 447
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