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Simplifying (1 + 0.028) = (1 + x)(1 + 0.170) Combine like terms: 1 + 0.028 = 1.028 (1.028) = (1 + x)(1 + 0.170) 1.028 = (1 + x)(1 + 0.170) Combine like terms: 1 + 0.170 = 1.17 1.028 = (1 + x)(1.17) Reorder the terms for easier multiplication: 1.028 = 1.17(1 + x) 1.028 = (1 * 1.17 + x * 1.17) 1.028 = (1.17 + 1.17x) Solving 1.028 = 1.17 + 1.17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.17x' to each side of the equation. 1.028 + -1.17x = 1.17 + 1.17x + -1.17x Combine like terms: 1.17x + -1.17x = 0.00 1.028 + -1.17x = 1.17 + 0.00 1.028 + -1.17x = 1.17 Add '-1.028' to each side of the equation. 1.028 + -1.028 + -1.17x = 1.17 + -1.028 Combine like terms: 1.028 + -1.028 = 0.000 0.000 + -1.17x = 1.17 + -1.028 -1.17x = 1.17 + -1.028 Combine like terms: 1.17 + -1.028 = 0.142 -1.17x = 0.142 Divide each side by '-1.17'. x = -0.1213675214 Simplifying x = -0.1213675214
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