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Simplifying 0.5x + 2(75 + -1x) = 75 0.5x + (75 * 2 + -1x * 2) = 75 0.5x + (150 + -2x) = 75 Reorder the terms: 150 + 0.5x + -2x = 75 Combine like terms: 0.5x + -2x = -1.5x 150 + -1.5x = 75 Solving 150 + -1.5x = 75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-150' to each side of the equation. 150 + -150 + -1.5x = 75 + -150 Combine like terms: 150 + -150 = 0 0 + -1.5x = 75 + -150 -1.5x = 75 + -150 Combine like terms: 75 + -150 = -75 -1.5x = -75 Divide each side by '-1.5'. x = 50 Simplifying x = 50
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