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Simplifying x + -1(2xy + -1(2x + -2(x + y)) + -2xy) = 0 x + -1(2xy + -1(2x + (x * -2 + y * -2)) + -2xy) = 0 x + -1(2xy + -1(2x + (-2x + -2y)) + -2xy) = 0 Combine like terms: 2x + -2x = 0 x + -1(2xy + -1(0 + -2y) + -2xy) = 0 x + -1(2xy + -1(-2y) + -2xy) = 0 Remove parenthesis around (-2y) x + -1(2xy + -1 * -2y + -2xy) = 0 Multiply -1 * -2 x + -1(2xy + 2y + -2xy) = 0 Reorder the terms: x + -1(2xy + -2xy + 2y) = 0 Combine like terms: 2xy + -2xy = 0 x + -1(0 + 2y) = 0 x + -1(2y) = 0 Remove parenthesis around (2y) x + -1 * 2y = 0 Multiply -1 * 2 x + -2y = 0 Solving x + -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. x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 x + 0 = 0 + 2y x = 0 + 2y Remove the zero: x = 2y Simplifying x = 2y
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