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Simplifying 2(x + -1y) + 3(x + -1y) = 0 (x * 2 + -1y * 2) + 3(x + -1y) = 0 (2x + -2y) + 3(x + -1y) = 0 2x + -2y + (x * 3 + -1y * 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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