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Simplifying 0.20x + 0.05(20 + -1x) = 0.10(37) 0.20x + (20 * 0.05 + -1x * 0.05) = 0.10(37) 0.20x + (1 + -0.05x) = 0.10(37) Reorder the terms: 1 + 0.20x + -0.05x = 0.10(37) Combine like terms: 0.20x + -0.05x = 0.15x 1 + 0.15x = 0.10(37) Multiply 0.10 * 37 1 + 0.15x = 3.7 Solving 1 + 0.15x = 3.7 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 + 0.15x = 3.7 + -1 Combine like terms: 1 + -1 = 0 0 + 0.15x = 3.7 + -1 0.15x = 3.7 + -1 Combine like terms: 3.7 + -1 = 2.7 0.15x = 2.7 Divide each side by '0.15'. x = 18 Simplifying x = 18
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