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Simplifying 6(5x + -4y) + -12(x + -2y) = 0 (5x * 6 + -4y * 6) + -12(x + -2y) = 0 (30x + -24y) + -12(x + -2y) = 0 30x + -24y + (x * -12 + -2y * -12) = 0 30x + -24y + (-12x + 24y) = 0 Reorder the terms: 30x + -12x + -24y + 24y = 0 Combine like terms: 30x + -12x = 18x 18x + -24y + 24y = 0 Combine like terms: -24y + 24y = 0 18x + 0 = 0 18x = 0 Solving 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '18'. x = 0 Simplifying x = 0
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