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Simplifying 50x + 100 = 40x + 250 Reorder the terms: 100 + 50x = 40x + 250 Reorder the terms: 100 + 50x = 250 + 40x Solving 100 + 50x = 250 + 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. 100 + 50x + -40x = 250 + 40x + -40x Combine like terms: 50x + -40x = 10x 100 + 10x = 250 + 40x + -40x Combine like terms: 40x + -40x = 0 100 + 10x = 250 + 0 100 + 10x = 250 Add '-100' to each side of the equation. 100 + -100 + 10x = 250 + -100 Combine like terms: 100 + -100 = 0 0 + 10x = 250 + -100 10x = 250 + -100 Combine like terms: 250 + -100 = 150 10x = 150 Divide each side by '10'. x = 15 Simplifying x = 15
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