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Simplifying 50x + 100 = 30x + 150 Reorder the terms: 100 + 50x = 30x + 150 Reorder the terms: 100 + 50x = 150 + 30x Solving 100 + 50x = 150 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 100 + 50x + -30x = 150 + 30x + -30x Combine like terms: 50x + -30x = 20x 100 + 20x = 150 + 30x + -30x Combine like terms: 30x + -30x = 0 100 + 20x = 150 + 0 100 + 20x = 150 Add '-100' to each side of the equation. 100 + -100 + 20x = 150 + -100 Combine like terms: 100 + -100 = 0 0 + 20x = 150 + -100 20x = 150 + -100 Combine like terms: 150 + -100 = 50 20x = 50 Divide each side by '20'. x = 2.5 Simplifying x = 2.5
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