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Simplifying 2x + 500 = x + 500 + 150 + 150 Reorder the terms: 500 + 2x = x + 500 + 150 + 150 Reorder the terms: 500 + 2x = 500 + 150 + 150 + x Combine like terms: 500 + 150 = 650 500 + 2x = 650 + 150 + x Combine like terms: 650 + 150 = 800 500 + 2x = 800 + x Solving 500 + 2x = 800 + 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. 500 + 2x + -1x = 800 + x + -1x Combine like terms: 2x + -1x = 1x 500 + 1x = 800 + x + -1x Combine like terms: x + -1x = 0 500 + 1x = 800 + 0 500 + 1x = 800 Add '-500' to each side of the equation. 500 + -500 + 1x = 800 + -500 Combine like terms: 500 + -500 = 0 0 + 1x = 800 + -500 1x = 800 + -500 Combine like terms: 800 + -500 = 300 1x = 300 Divide each side by '1'. x = 300 Simplifying x = 300
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