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Simplifying 3(x + -2y) + -2(x + -3y) = 0 (x * 3 + -2y * 3) + -2(x + -3y) = 0 (3x + -6y) + -2(x + -3y) = 0 3x + -6y + (x * -2 + -3y * -2) = 0 3x + -6y + (-2x + 6y) = 0 Reorder the terms: 3x + -2x + -6y + 6y = 0 Combine like terms: 3x + -2x = 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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