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