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Simplifying 1.1 = (1 + x)(1.05) Reorder the terms for easier multiplication: 1.1 = 1.05(1 + x) 1.1 = (1 * 1.05 + x * 1.05) 1.1 = (1.05 + 1.05x) Solving 1.1 = 1.05 + 1.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.05x' to each side of the equation. 1.1 + -1.05x = 1.05 + 1.05x + -1.05x Combine like terms: 1.05x + -1.05x = 0.00 1.1 + -1.05x = 1.05 + 0.00 1.1 + -1.05x = 1.05 Add '-1.1' to each side of the equation. 1.1 + -1.1 + -1.05x = 1.05 + -1.1 Combine like terms: 1.1 + -1.1 = 0.0 0.0 + -1.05x = 1.05 + -1.1 -1.05x = 1.05 + -1.1 Combine like terms: 1.05 + -1.1 = -0.05 -1.05x = -0.05 Divide each side by '-1.05'. x = 0.04761904762 Simplifying x = 0.04761904762
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