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Simplifying 0.10x + 0.15(50 + -1x) = 0.12(50) 0.10x + (50 * 0.15 + -1x * 0.15) = 0.12(50) 0.10x + (7.5 + -0.15x) = 0.12(50) Reorder the terms: 7.5 + 0.10x + -0.15x = 0.12(50) Combine like terms: 0.10x + -0.15x = -0.05x 7.5 + -0.05x = 0.12(50) Multiply 0.12 * 50 7.5 + -0.05x = 6 Solving 7.5 + -0.05x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + -0.05x = 6 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -0.05x = 6 + -7.5 -0.05x = 6 + -7.5 Combine like terms: 6 + -7.5 = -1.5 -0.05x = -1.5 Divide each side by '-0.05'. x = 30 Simplifying x = 30
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