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Simplifying 1.05 = (1 + x) * 0.95 Reorder the terms for easier multiplication: 1.05 = 0.95(1 + x) 1.05 = (1 * 0.95 + x * 0.95) 1.05 = (0.95 + 0.95x) Solving 1.05 = 0.95 + 0.95x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.95x' to each side of the equation. 1.05 + -0.95x = 0.95 + 0.95x + -0.95x Combine like terms: 0.95x + -0.95x = 0.00 1.05 + -0.95x = 0.95 + 0.00 1.05 + -0.95x = 0.95 Add '-1.05' to each side of the equation. 1.05 + -1.05 + -0.95x = 0.95 + -1.05 Combine like terms: 1.05 + -1.05 = 0.00 0.00 + -0.95x = 0.95 + -1.05 -0.95x = 0.95 + -1.05 Combine like terms: 0.95 + -1.05 = -0.1 -0.95x = -0.1 Divide each side by '-0.95'. x = 0.1052631579 Simplifying x = 0.1052631579
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