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Simplifying 500 = 0.75x + -1(800 + 0.25x) 500 = 0.75x + (800 * -1 + 0.25x * -1) 500 = 0.75x + (-800 + -0.25x) Reorder the terms: 500 = -800 + 0.75x + -0.25x Combine like terms: 0.75x + -0.25x = 0.5x 500 = -800 + 0.5x Solving 500 = -800 + 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 + -0.5x = -800 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 500 + -0.5x = -800 + 0.0 500 + -0.5x = -800 Add '-500' to each side of the equation. 500 + -500 + -0.5x = -800 + -500 Combine like terms: 500 + -500 = 0 0 + -0.5x = -800 + -500 -0.5x = -800 + -500 Combine like terms: -800 + -500 = -1300 -0.5x = -1300 Divide each side by '-0.5'. x = 2600 Simplifying x = 2600
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