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Simplifying 0.10x + 0.16(50 + -1x) = 0.12(60) 0.10x + (50 * 0.16 + -1x * 0.16) = 0.12(60) 0.10x + (8 + -0.16x) = 0.12(60) Reorder the terms: 8 + 0.10x + -0.16x = 0.12(60) Combine like terms: 0.10x + -0.16x = -0.06x 8 + -0.06x = 0.12(60) Multiply 0.12 * 60 8 + -0.06x = 7.2 Solving 8 + -0.06x = 7.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -0.06x = 7.2 + -8 Combine like terms: 8 + -8 = 0 0 + -0.06x = 7.2 + -8 -0.06x = 7.2 + -8 Combine like terms: 7.2 + -8 = -0.8 -0.06x = -0.8 Divide each side by '-0.06'. x = 13.33333333 Simplifying x = 13.33333333
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