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Simplifying 0.50x + 0.05(20 + -1x) = 0.10(1) 0.50x + (20 * 0.05 + -1x * 0.05) = 0.10(1) 0.50x + (1 + -0.05x) = 0.10(1) Reorder the terms: 1 + 0.50x + -0.05x = 0.10(1) Combine like terms: 0.50x + -0.05x = 0.45x 1 + 0.45x = 0.10(1) Multiply 0.10 * 1 1 + 0.45x = 0.1 Solving 1 + 0.45x = 0.1 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 + 0.45x = 0.1 + -1 Combine like terms: 1 + -1 = 0 0 + 0.45x = 0.1 + -1 0.45x = 0.1 + -1 Combine like terms: 0.1 + -1 = -0.9 0.45x = -0.9 Divide each side by '0.45'. x = -2 Simplifying x = -2
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