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Simplifying 0.10 + 0.15(50 + -1x) = 0.12(50) 0.10 + (50 * 0.15 + -1x * 0.15) = 0.12(50) 0.10 + (7.5 + -0.15x) = 0.12(50) Combine like terms: 0.10 + 7.5 = 7.6 7.6 + -0.15x = 0.12(50) Multiply 0.12 * 50 7.6 + -0.15x = 6 Solving 7.6 + -0.15x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.6' to each side of the equation. 7.6 + -7.6 + -0.15x = 6 + -7.6 Combine like terms: 7.6 + -7.6 = 0.0 0.0 + -0.15x = 6 + -7.6 -0.15x = 6 + -7.6 Combine like terms: 6 + -7.6 = -1.6 -0.15x = -1.6 Divide each side by '-0.15'. x = 10.66666667 Simplifying x = 10.66666667
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