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Simplifying -1(4xy + -12) + 4(3xy + 7) = 0 Reorder the terms: -1(-12 + 4xy) + 4(3xy + 7) = 0 (-12 * -1 + 4xy * -1) + 4(3xy + 7) = 0 (12 + -4xy) + 4(3xy + 7) = 0 Reorder the terms: 12 + -4xy + 4(7 + 3xy) = 0 12 + -4xy + (7 * 4 + 3xy * 4) = 0 12 + -4xy + (28 + 12xy) = 0 Reorder the terms: 12 + 28 + -4xy + 12xy = 0 Combine like terms: 12 + 28 = 40 40 + -4xy + 12xy = 0 Combine like terms: -4xy + 12xy = 8xy 40 + 8xy = 0 Solving 40 + 8xy = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 8xy = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 8xy = 0 + -40 8xy = 0 + -40 Combine like terms: 0 + -40 = -40 8xy = -40 Divide each side by '8y'. x = -5y-1 Simplifying x = -5y-1
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