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Simplifying x + y + (x + -10) + (y + 5) = 500 Reorder the terms: x + y + (-10 + x) + (y + 5) = 500 Remove parenthesis around (-10 + x) x + y + -10 + x + (y + 5) = 500 Reorder the terms: x + y + -10 + x + (5 + y) = 500 Remove parenthesis around (5 + y) x + y + -10 + x + 5 + y = 500 Reorder the terms: -10 + 5 + x + x + y + y = 500 Combine like terms: -10 + 5 = -5 -5 + x + x + y + y = 500 Combine like terms: x + x = 2x -5 + 2x + y + y = 500 Combine like terms: y + y = 2y -5 + 2x + 2y = 500 Solving -5 + 2x + 2y = 500 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 2x + 5 + 2y = 500 + 5 Reorder the terms: -5 + 5 + 2x + 2y = 500 + 5 Combine like terms: -5 + 5 = 0 0 + 2x + 2y = 500 + 5 2x + 2y = 500 + 5 Combine like terms: 500 + 5 = 505 2x + 2y = 505 Add '-2y' to each side of the equation. 2x + 2y + -2y = 505 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 505 + -2y 2x = 505 + -2y Divide each side by '2'. x = 252.5 + -1y Simplifying x = 252.5 + -1y
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