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Simplifying 3(x + 2y) + 2(4x + -3y) = 0 (x * 3 + 2y * 3) + 2(4x + -3y) = 0 (3x + 6y) + 2(4x + -3y) = 0 3x + 6y + (4x * 2 + -3y * 2) = 0 3x + 6y + (8x + -6y) = 0 Reorder the terms: 3x + 8x + 6y + -6y = 0 Combine like terms: 3x + 8x = 11x 11x + 6y + -6y = 0 Combine like terms: 6y + -6y = 0 11x + 0 = 0 11x = 0 Solving 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '11'. x = 0 Simplifying x = 0
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