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Simplifying -1(6xy + -12) + 2(4xy + 4) = 0 Reorder the terms: -1(-12 + 6xy) + 2(4xy + 4) = 0 (-12 * -1 + 6xy * -1) + 2(4xy + 4) = 0 (12 + -6xy) + 2(4xy + 4) = 0 Reorder the terms: 12 + -6xy + 2(4 + 4xy) = 0 12 + -6xy + (4 * 2 + 4xy * 2) = 0 12 + -6xy + (8 + 8xy) = 0 Reorder the terms: 12 + 8 + -6xy + 8xy = 0 Combine like terms: 12 + 8 = 20 20 + -6xy + 8xy = 0 Combine like terms: -6xy + 8xy = 2xy 20 + 2xy = 0 Solving 20 + 2xy = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 2xy = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 2xy = 0 + -20 2xy = 0 + -20 Combine like terms: 0 + -20 = -20 2xy = -20 Divide each side by '2y'. x = -10y-1 Simplifying x = -10y-1
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