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Simplifying x + x + 500 + 200 = x + x + x + 200 + 200 + 100 Reorder the terms: 500 + 200 + x + x = x + x + x + 200 + 200 + 100 Combine like terms: 500 + 200 = 700 700 + x + x = x + x + x + 200 + 200 + 100 Combine like terms: x + x = 2x 700 + 2x = x + x + x + 200 + 200 + 100 Reorder the terms: 700 + 2x = 200 + 200 + 100 + x + x + x Combine like terms: 200 + 200 = 400 700 + 2x = 400 + 100 + x + x + x Combine like terms: 400 + 100 = 500 700 + 2x = 500 + x + x + x Combine like terms: x + x = 2x 700 + 2x = 500 + 2x + x Combine like terms: 2x + x = 3x 700 + 2x = 500 + 3x Solving 700 + 2x = 500 + 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. 700 + 2x + -3x = 500 + 3x + -3x Combine like terms: 2x + -3x = -1x 700 + -1x = 500 + 3x + -3x Combine like terms: 3x + -3x = 0 700 + -1x = 500 + 0 700 + -1x = 500 Add '-700' to each side of the equation. 700 + -700 + -1x = 500 + -700 Combine like terms: 700 + -700 = 0 0 + -1x = 500 + -700 -1x = 500 + -700 Combine like terms: 500 + -700 = -200 -1x = -200 Divide each side by '-1'. x = 200 Simplifying x = 200
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