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Simplifying -1(6xy + -12) + 3(3xy + 4) = 0 Reorder the terms: -1(-12 + 6xy) + 3(3xy + 4) = 0 (-12 * -1 + 6xy * -1) + 3(3xy + 4) = 0 (12 + -6xy) + 3(3xy + 4) = 0 Reorder the terms: 12 + -6xy + 3(4 + 3xy) = 0 12 + -6xy + (4 * 3 + 3xy * 3) = 0 12 + -6xy + (12 + 9xy) = 0 Reorder the terms: 12 + 12 + -6xy + 9xy = 0 Combine like terms: 12 + 12 = 24 24 + -6xy + 9xy = 0 Combine like terms: -6xy + 9xy = 3xy 24 + 3xy = 0 Solving 24 + 3xy = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 3xy = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 3xy = 0 + -24 3xy = 0 + -24 Combine like terms: 0 + -24 = -24 3xy = -24 Divide each side by '3y'. x = -8y-1 Simplifying x = -8y-1
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