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Simplifying -3(3x + -4y) + 6(x + -3y) = 0 (3x * -3 + -4y * -3) + 6(x + -3y) = 0 (-9x + 12y) + 6(x + -3y) = 0 -9x + 12y + (x * 6 + -3y * 6) = 0 -9x + 12y + (6x + -18y) = 0 Reorder the terms: -9x + 6x + 12y + -18y = 0 Combine like terms: -9x + 6x = -3x -3x + 12y + -18y = 0 Combine like terms: 12y + -18y = -6y -3x + -6y = 0 Solving -3x + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. -3x + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 -3x + 0 = 0 + 6y -3x = 0 + 6y Remove the zero: -3x = 6y Divide each side by '-3'. x = -2y Simplifying x = -2y
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