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Simplifying -1(6xy + -10) + 4(4xy + 8) = 0 Reorder the terms: -1(-10 + 6xy) + 4(4xy + 8) = 0 (-10 * -1 + 6xy * -1) + 4(4xy + 8) = 0 (10 + -6xy) + 4(4xy + 8) = 0 Reorder the terms: 10 + -6xy + 4(8 + 4xy) = 0 10 + -6xy + (8 * 4 + 4xy * 4) = 0 10 + -6xy + (32 + 16xy) = 0 Reorder the terms: 10 + 32 + -6xy + 16xy = 0 Combine like terms: 10 + 32 = 42 42 + -6xy + 16xy = 0 Combine like terms: -6xy + 16xy = 10xy 42 + 10xy = 0 Solving 42 + 10xy = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 10xy = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 10xy = 0 + -42 10xy = 0 + -42 Combine like terms: 0 + -42 = -42 10xy = -42 Divide each side by '10y'. x = -4.2y-1 Simplifying x = -4.2y-1
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