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Simplifying -3(x + 2y) + 4(3x + -6y) = 0 (x * -3 + 2y * -3) + 4(3x + -6y) = 0 (-3x + -6y) + 4(3x + -6y) = 0 -3x + -6y + (3x * 4 + -6y * 4) = 0 -3x + -6y + (12x + -24y) = 0 Reorder the terms: -3x + 12x + -6y + -24y = 0 Combine like terms: -3x + 12x = 9x 9x + -6y + -24y = 0 Combine like terms: -6y + -24y = -30y 9x + -30y = 0 Solving 9x + -30y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30y' to each side of the equation. 9x + -30y + 30y = 0 + 30y Combine like terms: -30y + 30y = 0 9x + 0 = 0 + 30y 9x = 0 + 30y Remove the zero: 9x = 30y Divide each side by '9'. x = 3.333333333y Simplifying x = 3.333333333y
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