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Simplifying 50x + 100 = 75x + 150 Reorder the terms: 100 + 50x = 75x + 150 Reorder the terms: 100 + 50x = 150 + 75x Solving 100 + 50x = 150 + 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. 100 + 50x + -75x = 150 + 75x + -75x Combine like terms: 50x + -75x = -25x 100 + -25x = 150 + 75x + -75x Combine like terms: 75x + -75x = 0 100 + -25x = 150 + 0 100 + -25x = 150 Add '-100' to each side of the equation. 100 + -100 + -25x = 150 + -100 Combine like terms: 100 + -100 = 0 0 + -25x = 150 + -100 -25x = 150 + -100 Combine like terms: 150 + -100 = 50 -25x = 50 Divide each side by '-25'. x = -2 Simplifying x = -2
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