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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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