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Simplifying 0.25x + 0.05(20 + -1x) = 0.10(30) 0.25x + (20 * 0.05 + -1x * 0.05) = 0.10(30) 0.25x + (1 + -0.05x) = 0.10(30) Reorder the terms: 1 + 0.25x + -0.05x = 0.10(30) Combine like terms: 0.25x + -0.05x = 0.2x 1 + 0.2x = 0.10(30) Multiply 0.10 * 30 1 + 0.2x = 3 Solving 1 + 0.2x = 3 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 + 0.2x = 3 + -1 Combine like terms: 1 + -1 = 0 0 + 0.2x = 3 + -1 0.2x = 3 + -1 Combine like terms: 3 + -1 = 2 0.2x = 2 Divide each side by '0.2'. x = 10 Simplifying x = 10
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