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Simplifying 0.5(75 + -1x) + 2x = 75 (75 * 0.5 + -1x * 0.5) + 2x = 75 (37.5 + -0.5x) + 2x = 75 Combine like terms: -0.5x + 2x = 1.5x 37.5 + 1.5x = 75 Solving 37.5 + 1.5x = 75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37.5' to each side of the equation. 37.5 + -37.5 + 1.5x = 75 + -37.5 Combine like terms: 37.5 + -37.5 = 0.0 0.0 + 1.5x = 75 + -37.5 1.5x = 75 + -37.5 Combine like terms: 75 + -37.5 = 37.5 1.5x = 37.5 Divide each side by '1.5'. x = 25 Simplifying x = 25
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