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Simplifying -3(4x + -2y) + -1(x + 3y) + -2(2x + 6y) = 0 (4x * -3 + -2y * -3) + -1(x + 3y) + -2(2x + 6y) = 0 (-12x + 6y) + -1(x + 3y) + -2(2x + 6y) = 0 -12x + 6y + (x * -1 + 3y * -1) + -2(2x + 6y) = 0 -12x + 6y + (-1x + -3y) + -2(2x + 6y) = 0 -12x + 6y + -1x + -3y + (2x * -2 + 6y * -2) = 0 -12x + 6y + -1x + -3y + (-4x + -12y) = 0 Reorder the terms: -12x + -1x + -4x + 6y + -3y + -12y = 0 Combine like terms: -12x + -1x = -13x -13x + -4x + 6y + -3y + -12y = 0 Combine like terms: -13x + -4x = -17x -17x + 6y + -3y + -12y = 0 Combine like terms: 6y + -3y = 3y -17x + 3y + -12y = 0 Combine like terms: 3y + -12y = -9y -17x + -9y = 0 Solving -17x + -9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9y' to each side of the equation. -17x + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 -17x + 0 = 0 + 9y -17x = 0 + 9y Remove the zero: -17x = 9y Divide each side by '-17'. x = -0.5294117647y Simplifying x = -0.5294117647y
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