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Simplifying 2(x + -1y) + -1(x + y) = 0 (x * 2 + -1y * 2) + -1(x + y) = 0 (2x + -2y) + -1(x + y) = 0 2x + -2y + (x * -1 + y * -1) = 0 2x + -2y + (-1x + -1y) = 0 Reorder the terms: 2x + -1x + -2y + -1y = 0 Combine like terms: 2x + -1x = 1x 1x + -2y + -1y = 0 Combine like terms: -2y + -1y = -3y 1x + -3y = 0 Solving 1x + -3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 1x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 1x + 0 = 0 + 3y 1x = 0 + 3y Remove the zero: 1x = 3y Divide each side by '1'. x = 3y Simplifying x = 3y
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