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Simplifying -1(4xy + -12) + 2(3xy + 6) = 0 Reorder the terms: -1(-12 + 4xy) + 2(3xy + 6) = 0 (-12 * -1 + 4xy * -1) + 2(3xy + 6) = 0 (12 + -4xy) + 2(3xy + 6) = 0 Reorder the terms: 12 + -4xy + 2(6 + 3xy) = 0 12 + -4xy + (6 * 2 + 3xy * 2) = 0 12 + -4xy + (12 + 6xy) = 0 Reorder the terms: 12 + 12 + -4xy + 6xy = 0 Combine like terms: 12 + 12 = 24 24 + -4xy + 6xy = 0 Combine like terms: -4xy + 6xy = 2xy 24 + 2xy = 0 Solving 24 + 2xy = 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 + 2xy = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 2xy = 0 + -24 2xy = 0 + -24 Combine like terms: 0 + -24 = -24 2xy = -24 Divide each side by '2y'. x = -12y-1 Simplifying x = -12y-1
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