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Simplifying (x + 0.07) * 1.07 = x + 0.2 Reorder the terms: (0.07 + x) * 1.07 = x + 0.2 Reorder the terms for easier multiplication: 1.07(0.07 + x) = x + 0.2 (0.07 * 1.07 + x * 1.07) = x + 0.2 (0.0749 + 1.07x) = x + 0.2 Reorder the terms: 0.0749 + 1.07x = 0.2 + x Solving 0.0749 + 1.07x = 0.2 + 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. 0.0749 + 1.07x + -1x = 0.2 + x + -1x Combine like terms: 1.07x + -1x = 0.07x 0.0749 + 0.07x = 0.2 + x + -1x Combine like terms: x + -1x = 0 0.0749 + 0.07x = 0.2 + 0 0.0749 + 0.07x = 0.2 Add '-0.0749' to each side of the equation. 0.0749 + -0.0749 + 0.07x = 0.2 + -0.0749 Combine like terms: 0.0749 + -0.0749 = 0.0000 0.0000 + 0.07x = 0.2 + -0.0749 0.07x = 0.2 + -0.0749 Combine like terms: 0.2 + -0.0749 = 0.1251 0.07x = 0.1251 Divide each side by '0.07'. x = 1.787142857 Simplifying x = 1.787142857
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