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Simplifying (3y + -1x) + (2x + -1y) = 0 Reorder the terms: (-1x + 3y) + (2x + -1y) = 0 Remove parenthesis around (-1x + 3y) -1x + 3y + (2x + -1y) = 0 Remove parenthesis around (2x + -1y) -1x + 3y + 2x + -1y = 0 Reorder the terms: -1x + 2x + 3y + -1y = 0 Combine like terms: -1x + 2x = 1x 1x + 3y + -1y = 0 Combine like terms: 3y + -1y = 2y 1x + 2y = 0 Solving 1x + 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. 1x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 1x + 0 = 0 + -2y 1x = 0 + -2y Remove the zero: 1x = -2y Divide each side by '1'. x = -2y Simplifying x = -2y
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