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Simplifying 0.80x + 0.05(18 + -1x) = 0.10(144) 0.80x + (18 * 0.05 + -1x * 0.05) = 0.10(144) 0.80x + (0.9 + -0.05x) = 0.10(144) Reorder the terms: 0.9 + 0.80x + -0.05x = 0.10(144) Combine like terms: 0.80x + -0.05x = 0.75x 0.9 + 0.75x = 0.10(144) Multiply 0.10 * 144 0.9 + 0.75x = 14.4 Solving 0.9 + 0.75x = 14.4 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 + 0.75x = 14.4 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.75x = 14.4 + -0.9 0.75x = 14.4 + -0.9 Combine like terms: 14.4 + -0.9 = 13.5 0.75x = 13.5 Divide each side by '0.75'. x = 18 Simplifying x = 18
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