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Simplifying 125x + -100x + 34125 = 35875 + -150x Reorder the terms: 34125 + 125x + -100x = 35875 + -150x Combine like terms: 125x + -100x = 25x 34125 + 25x = 35875 + -150x Solving 34125 + 25x = 35875 + -150x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '150x' to each side of the equation. 34125 + 25x + 150x = 35875 + -150x + 150x Combine like terms: 25x + 150x = 175x 34125 + 175x = 35875 + -150x + 150x Combine like terms: -150x + 150x = 0 34125 + 175x = 35875 + 0 34125 + 175x = 35875 Add '-34125' to each side of the equation. 34125 + -34125 + 175x = 35875 + -34125 Combine like terms: 34125 + -34125 = 0 0 + 175x = 35875 + -34125 175x = 35875 + -34125 Combine like terms: 35875 + -34125 = 1750 175x = 1750 Divide each side by '175'. x = 10 Simplifying x = 10
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