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Simplifying 0.50x + 0.05(20 + -1x) = 0.10(64) 0.50x + (20 * 0.05 + -1x * 0.05) = 0.10(64) 0.50x + (1 + -0.05x) = 0.10(64) Reorder the terms: 1 + 0.50x + -0.05x = 0.10(64) Combine like terms: 0.50x + -0.05x = 0.45x 1 + 0.45x = 0.10(64) Multiply 0.10 * 64 1 + 0.45x = 6.4 Solving 1 + 0.45x = 6.4 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 = 6.4 + -1 Combine like terms: 1 + -1 = 0 0 + 0.45x = 6.4 + -1 0.45x = 6.4 + -1 Combine like terms: 6.4 + -1 = 5.4 0.45x = 5.4 Divide each side by '0.45'. x = 12 Simplifying x = 12
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