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Simplifying 0.40x + 0.05(18 + -1x) = 0.10(37) 0.40x + (18 * 0.05 + -1x * 0.05) = 0.10(37) 0.40x + (0.9 + -0.05x) = 0.10(37) Reorder the terms: 0.9 + 0.40x + -0.05x = 0.10(37) Combine like terms: 0.40x + -0.05x = 0.35x 0.9 + 0.35x = 0.10(37) Multiply 0.10 * 37 0.9 + 0.35x = 3.7 Solving 0.9 + 0.35x = 3.7 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 + 0.35x = 3.7 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.35x = 3.7 + -0.9 0.35x = 3.7 + -0.9 Combine like terms: 3.7 + -0.9 = 2.8 0.35x = 2.8 Divide each side by '0.35'. x = 8 Simplifying x = 8
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