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Simplifying 0.5(x + 150) = 275 Reorder the terms: 0.5(150 + x) = 275 (150 * 0.5 + x * 0.5) = 275 (75 + 0.5x) = 275 Solving 75 + 0.5x = 275 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + 0.5x = 275 + -75 Combine like terms: 75 + -75 = 0 0 + 0.5x = 275 + -75 0.5x = 275 + -75 Combine like terms: 275 + -75 = 200 0.5x = 200 Divide each side by '0.5'. x = 400 Simplifying x = 400
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