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Simplifying 0.10x + 0.05(20 + -1x) = 0.10(9) 0.10x + (20 * 0.05 + -1x * 0.05) = 0.10(9) 0.10x + (1 + -0.05x) = 0.10(9) Reorder the terms: 1 + 0.10x + -0.05x = 0.10(9) Combine like terms: 0.10x + -0.05x = 0.05x 1 + 0.05x = 0.10(9) Multiply 0.10 * 9 1 + 0.05x = 0.9 Solving 1 + 0.05x = 0.9 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 + 0.05x = 0.9 + -1 Combine like terms: 1 + -1 = 0 0 + 0.05x = 0.9 + -1 0.05x = 0.9 + -1 Combine like terms: 0.9 + -1 = -0.1 0.05x = -0.1 Divide each side by '0.05'. x = -2 Simplifying x = -2
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