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