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Simplifying (1 + 0.0725) = (1 + x)(1 + 0.035) Combine like terms: 1 + 0.0725 = 1.0725 (1.0725) = (1 + x)(1 + 0.035) 1.0725 = (1 + x)(1 + 0.035) Combine like terms: 1 + 0.035 = 1.035 1.0725 = (1 + x)(1.035) Reorder the terms for easier multiplication: 1.0725 = 1.035(1 + x) 1.0725 = (1 * 1.035 + x * 1.035) 1.0725 = (1.035 + 1.035x) Solving 1.0725 = 1.035 + 1.035x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.035x' to each side of the equation. 1.0725 + -1.035x = 1.035 + 1.035x + -1.035x Combine like terms: 1.035x + -1.035x = 0.000 1.0725 + -1.035x = 1.035 + 0.000 1.0725 + -1.035x = 1.035 Add '-1.0725' to each side of the equation. 1.0725 + -1.0725 + -1.035x = 1.035 + -1.0725 Combine like terms: 1.0725 + -1.0725 = 0.0000 0.0000 + -1.035x = 1.035 + -1.0725 -1.035x = 1.035 + -1.0725 Combine like terms: 1.035 + -1.0725 = -0.0375 -1.035x = -0.0375 Divide each side by '-1.035'. x = 0.03623188406 Simplifying x = 0.03623188406
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