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Simplifying 10x + 250 = 30x + 50 Reorder the terms: 250 + 10x = 30x + 50 Reorder the terms: 250 + 10x = 50 + 30x Solving 250 + 10x = 50 + 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. 250 + 10x + -30x = 50 + 30x + -30x Combine like terms: 10x + -30x = -20x 250 + -20x = 50 + 30x + -30x Combine like terms: 30x + -30x = 0 250 + -20x = 50 + 0 250 + -20x = 50 Add '-250' to each side of the equation. 250 + -250 + -20x = 50 + -250 Combine like terms: 250 + -250 = 0 0 + -20x = 50 + -250 -20x = 50 + -250 Combine like terms: 50 + -250 = -200 -20x = -200 Divide each side by '-20'. x = 10 Simplifying x = 10
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