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