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Simplifying -3(4x + -2y) + -2(x + 3y) + -2(2x + 6y) = 0 (4x * -3 + -2y * -3) + -2(x + 3y) + -2(2x + 6y) = 0 (-12x + 6y) + -2(x + 3y) + -2(2x + 6y) = 0 -12x + 6y + (x * -2 + 3y * -2) + -2(2x + 6y) = 0 -12x + 6y + (-2x + -6y) + -2(2x + 6y) = 0 -12x + 6y + -2x + -6y + (2x * -2 + 6y * -2) = 0 -12x + 6y + -2x + -6y + (-4x + -12y) = 0 Reorder the terms: -12x + -2x + -4x + 6y + -6y + -12y = 0 Combine like terms: -12x + -2x = -14x -14x + -4x + 6y + -6y + -12y = 0 Combine like terms: -14x + -4x = -18x -18x + 6y + -6y + -12y = 0 Combine like terms: 6y + -6y = 0 -18x + 0 + -12y = 0 -18x + -12y = 0 Solving -18x + -12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12y' to each side of the equation. -18x + -12y + 12y = 0 + 12y Combine like terms: -12y + 12y = 0 -18x + 0 = 0 + 12y -18x = 0 + 12y Remove the zero: -18x = 12y Divide each side by '-18'. x = -0.6666666667y Simplifying x = -0.6666666667y
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