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Simplifying (x + 2)(y + -6) = 76 Reorder the terms: (2 + x)(y + -6) = 76 Reorder the terms: (2 + x)(-6 + y) = 76 Multiply (2 + x) * (-6 + y) (2(-6 + y) + x(-6 + y)) = 76 ((-6 * 2 + y * 2) + x(-6 + y)) = 76 ((-12 + 2y) + x(-6 + y)) = 76 (-12 + 2y + (-6 * x + y * x)) = 76 (-12 + 2y + (-6x + xy)) = 76 Reorder the terms: (-12 + -6x + xy + 2y) = 76 (-12 + -6x + xy + 2y) = 76 Solving -12 + -6x + xy + 2y = 76 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -6x + xy + 12 + 2y = 76 + 12 Reorder the terms: -12 + 12 + -6x + xy + 2y = 76 + 12 Combine like terms: -12 + 12 = 0 0 + -6x + xy + 2y = 76 + 12 -6x + xy + 2y = 76 + 12 Combine like terms: 76 + 12 = 88 -6x + xy + 2y = 88 Add '-2y' to each side of the equation. -6x + xy + 2y + -2y = 88 + -2y Combine like terms: 2y + -2y = 0 -6x + xy + 0 = 88 + -2y -6x + xy = 88 + -2y Reorder the terms: -88 + -6x + xy + 2y = 88 + -2y + -88 + 2y Reorder the terms: -88 + -6x + xy + 2y = 88 + -88 + -2y + 2y Combine like terms: 88 + -88 = 0 -88 + -6x + xy + 2y = 0 + -2y + 2y -88 + -6x + xy + 2y = -2y + 2y Combine like terms: -2y + 2y = 0 -88 + -6x + xy + 2y = 0 The solution to this equation could not be determined.
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