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Simplifying 50x + 80 = 40x + 120 Reorder the terms: 80 + 50x = 40x + 120 Reorder the terms: 80 + 50x = 120 + 40x Solving 80 + 50x = 120 + 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. 80 + 50x + -40x = 120 + 40x + -40x Combine like terms: 50x + -40x = 10x 80 + 10x = 120 + 40x + -40x Combine like terms: 40x + -40x = 0 80 + 10x = 120 + 0 80 + 10x = 120 Add '-80' to each side of the equation. 80 + -80 + 10x = 120 + -80 Combine like terms: 80 + -80 = 0 0 + 10x = 120 + -80 10x = 120 + -80 Combine like terms: 120 + -80 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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