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Simplifying 0.85x + 0.05(18 + -1x) = 0.10(137) 0.85x + (18 * 0.05 + -1x * 0.05) = 0.10(137) 0.85x + (0.9 + -0.05x) = 0.10(137) Reorder the terms: 0.9 + 0.85x + -0.05x = 0.10(137) Combine like terms: 0.85x + -0.05x = 0.8x 0.9 + 0.8x = 0.10(137) Multiply 0.10 * 137 0.9 + 0.8x = 13.7 Solving 0.9 + 0.8x = 13.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9' to each side of the equation. 0.9 + -0.9 + 0.8x = 13.7 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.8x = 13.7 + -0.9 0.8x = 13.7 + -0.9 Combine like terms: 13.7 + -0.9 = 12.8 0.8x = 12.8 Divide each side by '0.8'. x = 16 Simplifying x = 16
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