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Simplifying 500 + 2x = 250 + 3x Solving 500 + 2x = 250 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 500 + 2x + -3x = 250 + 3x + -3x Combine like terms: 2x + -3x = -1x 500 + -1x = 250 + 3x + -3x Combine like terms: 3x + -3x = 0 500 + -1x = 250 + 0 500 + -1x = 250 Add '-500' to each side of the equation. 500 + -500 + -1x = 250 + -500 Combine like terms: 500 + -500 = 0 0 + -1x = 250 + -500 -1x = 250 + -500 Combine like terms: 250 + -500 = -250 -1x = -250 Divide each side by '-1'. x = 250 Simplifying x = 250
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