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Simplifying 2(250 + -1x) = 0.5x (250 * 2 + -1x * 2) = 0.5x (500 + -2x) = 0.5x Solving 500 + -2x = 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 500 + -2x + -0.5x = 0.5x + -0.5x Combine like terms: -2x + -0.5x = -2.5x 500 + -2.5x = 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 500 + -2.5x = 0.0 Add '-500' to each side of the equation. 500 + -500 + -2.5x = 0.0 + -500 Combine like terms: 500 + -500 = 0 0 + -2.5x = 0.0 + -500 -2.5x = 0.0 + -500 Combine like terms: 0.0 + -500 = -500 -2.5x = -500 Divide each side by '-2.5'. x = 200 Simplifying x = 200
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