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Simplifying 0.15(60) + 0.05x = 0.10(60 + x) Multiply 0.15 * 60 9 + 0.05x = 0.10(60 + x) 9 + 0.05x = (60 * 0.10 + x * 0.10) 9 + 0.05x = (6 + 0.10x) Solving 9 + 0.05x = 6 + 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 9 + 0.05x + -0.10x = 6 + 0.10x + -0.10x Combine like terms: 0.05x + -0.10x = -0.05x 9 + -0.05x = 6 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 9 + -0.05x = 6 + 0.00 9 + -0.05x = 6 Add '-9' to each side of the equation. 9 + -9 + -0.05x = 6 + -9 Combine like terms: 9 + -9 = 0 0 + -0.05x = 6 + -9 -0.05x = 6 + -9 Combine like terms: 6 + -9 = -3 -0.05x = -3 Divide each side by '-0.05'. x = 60 Simplifying x = 60
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