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Simplifying 0.60x + 0.05(12 + -1x) = 0.10(150) 0.60x + (12 * 0.05 + -1x * 0.05) = 0.10(150) 0.60x + (0.6 + -0.05x) = 0.10(150) Reorder the terms: 0.6 + 0.60x + -0.05x = 0.10(150) Combine like terms: 0.60x + -0.05x = 0.55x 0.6 + 0.55x = 0.10(150) Multiply 0.10 * 150 0.6 + 0.55x = 15 Solving 0.6 + 0.55x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6' to each side of the equation. 0.6 + -0.6 + 0.55x = 15 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.55x = 15 + -0.6 0.55x = 15 + -0.6 Combine like terms: 15 + -0.6 = 14.4 0.55x = 14.4 Divide each side by '0.55'. x = 26.18181818 Simplifying x = 26.18181818
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