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Simplifying 3(y + -1x) + -2(x + -1y) = 0 Reorder the terms: 3(-1x + y) + -2(x + -1y) = 0 (-1x * 3 + y * 3) + -2(x + -1y) = 0 (-3x + 3y) + -2(x + -1y) = 0 -3x + 3y + (x * -2 + -1y * -2) = 0 -3x + 3y + (-2x + 2y) = 0 Reorder the terms: -3x + -2x + 3y + 2y = 0 Combine like terms: -3x + -2x = -5x -5x + 3y + 2y = 0 Combine like terms: 3y + 2y = 5y -5x + 5y = 0 Solving -5x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. -5x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 -5x + 0 = 0 + -5y -5x = 0 + -5y Remove the zero: -5x = -5y Divide each side by '-5'. x = y Simplifying x = y
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