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Simplifying 586.10 = 510(1 + 0.25)(1 + x)(1 + 0.07) Combine like terms: 1 + 0.25 = 1.25 586.10 = 510(1.25)(1 + x)(1 + 0.07) Combine like terms: 1 + 0.07 = 1.07 586.10 = 510 * 1.25(1 + x)(1.07) Reorder the terms for easier multiplication: 586.10 = 510 * 1.25 * 1.07(1 + x) Multiply 510 * 1.25 586.10 = 637.5 * 1.07(1 + x) Multiply 637.5 * 1.07 586.10 = 682.125(1 + x) 586.10 = (1 * 682.125 + x * 682.125) 586.10 = (682.125 + 682.125x) Solving 586.10 = 682.125 + 682.125x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-682.125x' to each side of the equation. 586.10 + -682.125x = 682.125 + 682.125x + -682.125x Combine like terms: 682.125x + -682.125x = 0.000 586.10 + -682.125x = 682.125 + 0.000 586.10 + -682.125x = 682.125 Add '-586.10' to each side of the equation. 586.10 + -586.10 + -682.125x = 682.125 + -586.10 Combine like terms: 586.10 + -586.10 = 0.00 0.00 + -682.125x = 682.125 + -586.10 -682.125x = 682.125 + -586.10 Combine like terms: 682.125 + -586.10 = 96.025 -682.125x = 96.025 Divide each side by '-682.125'. x = -0.1407733187 Simplifying x = -0.1407733187
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