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Simplifying 100x + 75 = 75x + 150 Reorder the terms: 75 + 100x = 75x + 150 Reorder the terms: 75 + 100x = 150 + 75x Solving 75 + 100x = 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. 75 + 100x + -75x = 150 + 75x + -75x Combine like terms: 100x + -75x = 25x 75 + 25x = 150 + 75x + -75x Combine like terms: 75x + -75x = 0 75 + 25x = 150 + 0 75 + 25x = 150 Add '-75' to each side of the equation. 75 + -75 + 25x = 150 + -75 Combine like terms: 75 + -75 = 0 0 + 25x = 150 + -75 25x = 150 + -75 Combine like terms: 150 + -75 = 75 25x = 75 Divide each side by '25'. x = 3 Simplifying x = 3
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