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Simplifying 0.85x + 0.05(12 + -1x) = 0.10(118) 0.85x + (12 * 0.05 + -1x * 0.05) = 0.10(118) 0.85x + (0.6 + -0.05x) = 0.10(118) Reorder the terms: 0.6 + 0.85x + -0.05x = 0.10(118) Combine like terms: 0.85x + -0.05x = 0.8x 0.6 + 0.8x = 0.10(118) Multiply 0.10 * 118 0.6 + 0.8x = 11.8 Solving 0.6 + 0.8x = 11.8 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 + 0.8x = 11.8 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.8x = 11.8 + -0.6 0.8x = 11.8 + -0.6 Combine like terms: 11.8 + -0.6 = 11.2 0.8x = 11.2 Divide each side by '0.8'. x = 14 Simplifying x = 14
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