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Simplifying 50x + 112 + -60x = 242 + -40x + 140 Reorder the terms: 112 + 50x + -60x = 242 + -40x + 140 Combine like terms: 50x + -60x = -10x 112 + -10x = 242 + -40x + 140 Reorder the terms: 112 + -10x = 242 + 140 + -40x Combine like terms: 242 + 140 = 382 112 + -10x = 382 + -40x Solving 112 + -10x = 382 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 112 + -10x + 40x = 382 + -40x + 40x Combine like terms: -10x + 40x = 30x 112 + 30x = 382 + -40x + 40x Combine like terms: -40x + 40x = 0 112 + 30x = 382 + 0 112 + 30x = 382 Add '-112' to each side of the equation. 112 + -112 + 30x = 382 + -112 Combine like terms: 112 + -112 = 0 0 + 30x = 382 + -112 30x = 382 + -112 Combine like terms: 382 + -112 = 270 30x = 270 Divide each side by '30'. x = 9 Simplifying x = 9
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