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Simplifying 0.25(60) + 0.10x = 0.15(60 + x) Multiply 0.25 * 60 15 + 0.10x = 0.15(60 + x) 15 + 0.10x = (60 * 0.15 + x * 0.15) 15 + 0.10x = (9 + 0.15x) Solving 15 + 0.10x = 9 + 0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15x' to each side of the equation. 15 + 0.10x + -0.15x = 9 + 0.15x + -0.15x Combine like terms: 0.10x + -0.15x = -0.05x 15 + -0.05x = 9 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 15 + -0.05x = 9 + 0.00 15 + -0.05x = 9 Add '-15' to each side of the equation. 15 + -15 + -0.05x = 9 + -15 Combine like terms: 15 + -15 = 0 0 + -0.05x = 9 + -15 -0.05x = 9 + -15 Combine like terms: 9 + -15 = -6 -0.05x = -6 Divide each side by '-0.05'. x = 120 Simplifying x = 120
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