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Simplifying 2(y + -1x) + -2(x + -1y) = 0 Reorder the terms: 2(-1x + y) + -2(x + -1y) = 0 (-1x * 2 + y * 2) + -2(x + -1y) = 0 (-2x + 2y) + -2(x + -1y) = 0 -2x + 2y + (x * -2 + -1y * -2) = 0 -2x + 2y + (-2x + 2y) = 0 Reorder the terms: -2x + -2x + 2y + 2y = 0 Combine like terms: -2x + -2x = -4x -4x + 2y + 2y = 0 Combine like terms: 2y + 2y = 4y -4x + 4y = 0 Solving -4x + 4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. -4x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 -4x + 0 = 0 + -4y -4x = 0 + -4y Remove the zero: -4x = -4y Divide each side by '-4'. x = y Simplifying x = y
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