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Simplifying 150x + -75x + 43650 = 45900 + -150x Reorder the terms: 43650 + 150x + -75x = 45900 + -150x Combine like terms: 150x + -75x = 75x 43650 + 75x = 45900 + -150x Solving 43650 + 75x = 45900 + -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. 43650 + 75x + 150x = 45900 + -150x + 150x Combine like terms: 75x + 150x = 225x 43650 + 225x = 45900 + -150x + 150x Combine like terms: -150x + 150x = 0 43650 + 225x = 45900 + 0 43650 + 225x = 45900 Add '-43650' to each side of the equation. 43650 + -43650 + 225x = 45900 + -43650 Combine like terms: 43650 + -43650 = 0 0 + 225x = 45900 + -43650 225x = 45900 + -43650 Combine like terms: 45900 + -43650 = 2250 225x = 2250 Divide each side by '225'. x = 10 Simplifying x = 10
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