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Simplifying (x + -6)(y + 9) = 24 Reorder the terms: (-6 + x)(y + 9) = 24 Reorder the terms: (-6 + x)(9 + y) = 24 Multiply (-6 + x) * (9 + y) (-6(9 + y) + x(9 + y)) = 24 ((9 * -6 + y * -6) + x(9 + y)) = 24 ((-54 + -6y) + x(9 + y)) = 24 (-54 + -6y + (9 * x + y * x)) = 24 (-54 + -6y + (9x + xy)) = 24 Reorder the terms: (-54 + 9x + xy + -6y) = 24 (-54 + 9x + xy + -6y) = 24 Solving -54 + 9x + xy + -6y = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 9x + xy + 54 + -6y = 24 + 54 Reorder the terms: -54 + 54 + 9x + xy + -6y = 24 + 54 Combine like terms: -54 + 54 = 0 0 + 9x + xy + -6y = 24 + 54 9x + xy + -6y = 24 + 54 Combine like terms: 24 + 54 = 78 9x + xy + -6y = 78 Add '6y' to each side of the equation. 9x + xy + -6y + 6y = 78 + 6y Combine like terms: -6y + 6y = 0 9x + xy + 0 = 78 + 6y 9x + xy = 78 + 6y Reorder the terms: -78 + 9x + xy + -6y = 78 + 6y + -78 + -6y Reorder the terms: -78 + 9x + xy + -6y = 78 + -78 + 6y + -6y Combine like terms: 78 + -78 = 0 -78 + 9x + xy + -6y = 0 + 6y + -6y -78 + 9x + xy + -6y = 6y + -6y Combine like terms: 6y + -6y = 0 -78 + 9x + xy + -6y = 0 The solution to this equation could not be determined.
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