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Simplifying 2[x + -1y] + -3[y + -1x] = 0 [x * 2 + -1y * 2] + -3[y + -1x] = 0 [2x + -2y] + -3[y + -1x] = 0 Reorder the terms: 2x + -2y + -3[-1x + y] = 0 2x + -2y + [-1x * -3 + y * -3] = 0 2x + -2y + [3x + -3y] = 0 Reorder the terms: 2x + 3x + -2y + -3y = 0 Combine like terms: 2x + 3x = 5x 5x + -2y + -3y = 0 Combine like terms: -2y + -3y = -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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