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