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Simplifying 500 + 25x = 800 + -75x Solving 500 + 25x = 800 + -75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '75x' to each side of the equation. 500 + 25x + 75x = 800 + -75x + 75x Combine like terms: 25x + 75x = 100x 500 + 100x = 800 + -75x + 75x Combine like terms: -75x + 75x = 0 500 + 100x = 800 + 0 500 + 100x = 800 Add '-500' to each side of the equation. 500 + -500 + 100x = 800 + -500 Combine like terms: 500 + -500 = 0 0 + 100x = 800 + -500 100x = 800 + -500 Combine like terms: 800 + -500 = 300 100x = 300 Divide each side by '100'. x = 3 Simplifying x = 3
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