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Simplifying (x + -1y) + -1(y + -1x) = 0 Remove parenthesis around (x + -1y) x + -1y + -1(y + -1x) = 0 Reorder the terms: x + -1y + -1(-1x + y) = 0 x + -1y + (-1x * -1 + y * -1) = 0 x + -1y + (1x + -1y) = 0 Reorder the terms: x + 1x + -1y + -1y = 0 Combine like terms: x + 1x = 2x 2x + -1y + -1y = 0 Combine like terms: -1y + -1y = -2y 2x + -2y = 0 Solving 2x + -2y = 0 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 = 0 + 2y Combine like terms: -2y + 2y = 0 2x + 0 = 0 + 2y 2x = 0 + 2y Remove the zero: 2x = 2y Divide each side by '2'. x = y Simplifying x = y
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