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Simplifying 6(x + y) + 2(3x + -2y) = 0 (x * 6 + y * 6) + 2(3x + -2y) = 0 (6x + 6y) + 2(3x + -2y) = 0 6x + 6y + (3x * 2 + -2y * 2) = 0 6x + 6y + (6x + -4y) = 0 Reorder the terms: 6x + 6x + 6y + -4y = 0 Combine like terms: 6x + 6x = 12x 12x + 6y + -4y = 0 Combine like terms: 6y + -4y = 2y 12x + 2y = 0 Solving 12x + 2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 12x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 12x + 0 = 0 + -2y 12x = 0 + -2y Remove the zero: 12x = -2y Divide each side by '12'. x = -0.1666666667y Simplifying x = -0.1666666667y
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