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Simplifying 2(x + -1y) + -7(y + -1x) = 0 (x * 2 + -1y * 2) + -7(y + -1x) = 0 (2x + -2y) + -7(y + -1x) = 0 Reorder the terms: 2x + -2y + -7(-1x + y) = 0 2x + -2y + (-1x * -7 + y * -7) = 0 2x + -2y + (7x + -7y) = 0 Reorder the terms: 2x + 7x + -2y + -7y = 0 Combine like terms: 2x + 7x = 9x 9x + -2y + -7y = 0 Combine like terms: -2y + -7y = -9y 9x + -9y = 0 Solving 9x + -9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9y' to each side of the equation. 9x + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 9x + 0 = 0 + 9y 9x = 0 + 9y Remove the zero: 9x = 9y Divide each side by '9'. x = y Simplifying x = y
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