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Simplifying 2x + 500 + 100 = x + 250 + 500 Reorder the terms: 500 + 100 + 2x = x + 250 + 500 Combine like terms: 500 + 100 = 600 600 + 2x = x + 250 + 500 Reorder the terms: 600 + 2x = 250 + 500 + x Combine like terms: 250 + 500 = 750 600 + 2x = 750 + x Solving 600 + 2x = 750 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 600 + 2x + -1x = 750 + x + -1x Combine like terms: 2x + -1x = 1x 600 + 1x = 750 + x + -1x Combine like terms: x + -1x = 0 600 + 1x = 750 + 0 600 + 1x = 750 Add '-600' to each side of the equation. 600 + -600 + 1x = 750 + -600 Combine like terms: 600 + -600 = 0 0 + 1x = 750 + -600 1x = 750 + -600 Combine like terms: 750 + -600 = 150 1x = 150 Divide each side by '1'. x = 150 Simplifying x = 150
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