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Simplifying 30x + -500 = 20x + 150 Reorder the terms: -500 + 30x = 20x + 150 Reorder the terms: -500 + 30x = 150 + 20x Solving -500 + 30x = 150 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -500 + 30x + -20x = 150 + 20x + -20x Combine like terms: 30x + -20x = 10x -500 + 10x = 150 + 20x + -20x Combine like terms: 20x + -20x = 0 -500 + 10x = 150 + 0 -500 + 10x = 150 Add '500' to each side of the equation. -500 + 500 + 10x = 150 + 500 Combine like terms: -500 + 500 = 0 0 + 10x = 150 + 500 10x = 150 + 500 Combine like terms: 150 + 500 = 650 10x = 650 Divide each side by '10'. x = 65 Simplifying x = 65
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