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Simplifying 2(x + -1y) + 3(2y + -3x) = 0 (x * 2 + -1y * 2) + 3(2y + -3x) = 0 (2x + -2y) + 3(2y + -3x) = 0 Reorder the terms: 2x + -2y + 3(-3x + 2y) = 0 2x + -2y + (-3x * 3 + 2y * 3) = 0 2x + -2y + (-9x + 6y) = 0 Reorder the terms: 2x + -9x + -2y + 6y = 0 Combine like terms: 2x + -9x = -7x -7x + -2y + 6y = 0 Combine like terms: -2y + 6y = 4y -7x + 4y = 0 Solving -7x + 4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. -7x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 -7x + 0 = 0 + -4y -7x = 0 + -4y Remove the zero: -7x = -4y Divide each side by '-7'. x = 0.5714285714y Simplifying x = 0.5714285714y
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