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Simplifying 0.40x + 0.05(20 + -1x) = 0.10(52) 0.40x + (20 * 0.05 + -1x * 0.05) = 0.10(52) 0.40x + (1 + -0.05x) = 0.10(52) Reorder the terms: 1 + 0.40x + -0.05x = 0.10(52) Combine like terms: 0.40x + -0.05x = 0.35x 1 + 0.35x = 0.10(52) Multiply 0.10 * 52 1 + 0.35x = 5.2 Solving 1 + 0.35x = 5.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 0.35x = 5.2 + -1 Combine like terms: 1 + -1 = 0 0 + 0.35x = 5.2 + -1 0.35x = 5.2 + -1 Combine like terms: 5.2 + -1 = 4.2 0.35x = 4.2 Divide each side by '0.35'. x = 12 Simplifying x = 12
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