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Simplifying 50x + 250 = 75x + 100 Reorder the terms: 250 + 50x = 75x + 100 Reorder the terms: 250 + 50x = 100 + 75x Solving 250 + 50x = 100 + 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. 250 + 50x + -75x = 100 + 75x + -75x Combine like terms: 50x + -75x = -25x 250 + -25x = 100 + 75x + -75x Combine like terms: 75x + -75x = 0 250 + -25x = 100 + 0 250 + -25x = 100 Add '-250' to each side of the equation. 250 + -250 + -25x = 100 + -250 Combine like terms: 250 + -250 = 0 0 + -25x = 100 + -250 -25x = 100 + -250 Combine like terms: 100 + -250 = -150 -25x = -150 Divide each side by '-25'. x = 6 Simplifying x = 6
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