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Simplifying 0.5(1500 + -1x) = x (1500 * 0.5 + -1x * 0.5) = x (750 + -0.5x) = x Solving 750 + -0.5x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 750 + -0.5x + -1x = x + -1x Combine like terms: -0.5x + -1x = -1.5x 750 + -1.5x = x + -1x Combine like terms: x + -1x = 0 750 + -1.5x = 0 Add '-750' to each side of the equation. 750 + -750 + -1.5x = 0 + -750 Combine like terms: 750 + -750 = 0 0 + -1.5x = 0 + -750 -1.5x = 0 + -750 Combine like terms: 0 + -750 = -750 -1.5x = -750 Divide each side by '-1.5'. x = 500 Simplifying x = 500
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