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Simplifying 150x + -125x + 33250 = 35700 + -150x Reorder the terms: 33250 + 150x + -125x = 35700 + -150x Combine like terms: 150x + -125x = 25x 33250 + 25x = 35700 + -150x Solving 33250 + 25x = 35700 + -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. 33250 + 25x + 150x = 35700 + -150x + 150x Combine like terms: 25x + 150x = 175x 33250 + 175x = 35700 + -150x + 150x Combine like terms: -150x + 150x = 0 33250 + 175x = 35700 + 0 33250 + 175x = 35700 Add '-33250' to each side of the equation. 33250 + -33250 + 175x = 35700 + -33250 Combine like terms: 33250 + -33250 = 0 0 + 175x = 35700 + -33250 175x = 35700 + -33250 Combine like terms: 35700 + -33250 = 2450 175x = 2450 Divide each side by '175'. x = 14 Simplifying x = 14
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