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