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Simplifying 3(x + -4y) + -9(x + 4y) = 0 (x * 3 + -4y * 3) + -9(x + 4y) = 0 (3x + -12y) + -9(x + 4y) = 0 3x + -12y + (x * -9 + 4y * -9) = 0 3x + -12y + (-9x + -36y) = 0 Reorder the terms: 3x + -9x + -12y + -36y = 0 Combine like terms: 3x + -9x = -6x -6x + -12y + -36y = 0 Combine like terms: -12y + -36y = -48y -6x + -48y = 0 Solving -6x + -48y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48y' to each side of the equation. -6x + -48y + 48y = 0 + 48y Combine like terms: -48y + 48y = 0 -6x + 0 = 0 + 48y -6x = 0 + 48y Remove the zero: -6x = 48y Divide each side by '-6'. x = -8y Simplifying x = -8y
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