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Simplifying 0.70x + 0.05(20 + -1x) = 0.10(127) 0.70x + (20 * 0.05 + -1x * 0.05) = 0.10(127) 0.70x + (1 + -0.05x) = 0.10(127) Reorder the terms: 1 + 0.70x + -0.05x = 0.10(127) Combine like terms: 0.70x + -0.05x = 0.65x 1 + 0.65x = 0.10(127) Multiply 0.10 * 127 1 + 0.65x = 12.7 Solving 1 + 0.65x = 12.7 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 + 0.65x = 12.7 + -1 Combine like terms: 1 + -1 = 0 0 + 0.65x = 12.7 + -1 0.65x = 12.7 + -1 Combine like terms: 12.7 + -1 = 11.7 0.65x = 11.7 Divide each side by '0.65'. x = 18 Simplifying x = 18
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