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Simplifying 0.5(x + 750) = 290 Reorder the terms: 0.5(750 + x) = 290 (750 * 0.5 + x * 0.5) = 290 (375 + 0.5x) = 290 Solving 375 + 0.5x = 290 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-375' to each side of the equation. 375 + -375 + 0.5x = 290 + -375 Combine like terms: 375 + -375 = 0 0 + 0.5x = 290 + -375 0.5x = 290 + -375 Combine like terms: 290 + -375 = -85 0.5x = -85 Divide each side by '0.5'. x = -170 Simplifying x = -170
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