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Simplifying 0.45x + 0.05(20 + -1x) = 0.10(58) 0.45x + (20 * 0.05 + -1x * 0.05) = 0.10(58) 0.45x + (1 + -0.05x) = 0.10(58) Reorder the terms: 1 + 0.45x + -0.05x = 0.10(58) Combine like terms: 0.45x + -0.05x = 0.4x 1 + 0.4x = 0.10(58) Multiply 0.10 * 58 1 + 0.4x = 5.8 Solving 1 + 0.4x = 5.8 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 + 0.4x = 5.8 + -1 Combine like terms: 1 + -1 = 0 0 + 0.4x = 5.8 + -1 0.4x = 5.8 + -1 Combine like terms: 5.8 + -1 = 4.8 0.4x = 4.8 Divide each side by '0.4'. x = 12 Simplifying x = 12
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