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Simplifying 1000 + 50x = 500 + 75x Solving 1000 + 50x = 500 + 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. 1000 + 50x + -75x = 500 + 75x + -75x Combine like terms: 50x + -75x = -25x 1000 + -25x = 500 + 75x + -75x Combine like terms: 75x + -75x = 0 1000 + -25x = 500 + 0 1000 + -25x = 500 Add '-1000' to each side of the equation. 1000 + -1000 + -25x = 500 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -25x = 500 + -1000 -25x = 500 + -1000 Combine like terms: 500 + -1000 = -500 -25x = -500 Divide each side by '-25'. x = 20 Simplifying x = 20
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