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Simplifying 12 + 3(4x + -6y) + -8y = 0 12 + (4x * 3 + -6y * 3) + -8y = 0 12 + (12x + -18y) + -8y = 0 Combine like terms: -18y + -8y = -26y 12 + 12x + -26y = 0 Solving 12 + 12x + -26y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 12x + -12 + -26y = 0 + -12 Reorder the terms: 12 + -12 + 12x + -26y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 12x + -26y = 0 + -12 12x + -26y = 0 + -12 Combine like terms: 0 + -12 = -12 12x + -26y = -12 Add '26y' to each side of the equation. 12x + -26y + 26y = -12 + 26y Combine like terms: -26y + 26y = 0 12x + 0 = -12 + 26y 12x = -12 + 26y Divide each side by '12'. x = -1 + 2.166666667y Simplifying x = -1 + 2.166666667y
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