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Simplifying (x + y) + (x + -1y) = 8 + 2 Remove parenthesis around (x + y) x + y + (x + -1y) = 8 + 2 Remove parenthesis around (x + -1y) x + y + x + -1y = 8 + 2 Reorder the terms: x + x + y + -1y = 8 + 2 Combine like terms: x + x = 2x 2x + y + -1y = 8 + 2 Combine like terms: y + -1y = 0 2x + 0 = 8 + 2 2x = 8 + 2 Combine like terms: 8 + 2 = 10 2x = 10 Solving 2x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '2'. x = 5 Simplifying x = 5
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