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Simplifying 35x + 250 = 30x + 500 Reorder the terms: 250 + 35x = 30x + 500 Reorder the terms: 250 + 35x = 500 + 30x Solving 250 + 35x = 500 + 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 + 35x + -30x = 500 + 30x + -30x Combine like terms: 35x + -30x = 5x 250 + 5x = 500 + 30x + -30x Combine like terms: 30x + -30x = 0 250 + 5x = 500 + 0 250 + 5x = 500 Add '-250' to each side of the equation. 250 + -250 + 5x = 500 + -250 Combine like terms: 250 + -250 = 0 0 + 5x = 500 + -250 5x = 500 + -250 Combine like terms: 500 + -250 = 250 5x = 250 Divide each side by '5'. x = 50 Simplifying x = 50
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