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Simplifying 4(3x + 2y) + -2(-6x + 4y) = 0 (3x * 4 + 2y * 4) + -2(-6x + 4y) = 0 (12x + 8y) + -2(-6x + 4y) = 0 12x + 8y + (-6x * -2 + 4y * -2) = 0 12x + 8y + (12x + -8y) = 0 Reorder the terms: 12x + 12x + 8y + -8y = 0 Combine like terms: 12x + 12x = 24x 24x + 8y + -8y = 0 Combine like terms: 8y + -8y = 0 24x + 0 = 0 24x = 0 Solving 24x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '24'. x = 0 Simplifying x = 0
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