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Simplifying (x + -2)(y + 4) = 6 Reorder the terms: (-2 + x)(y + 4) = 6 Reorder the terms: (-2 + x)(4 + y) = 6 Multiply (-2 + x) * (4 + y) (-2(4 + y) + x(4 + y)) = 6 ((4 * -2 + y * -2) + x(4 + y)) = 6 ((-8 + -2y) + x(4 + y)) = 6 (-8 + -2y + (4 * x + y * x)) = 6 (-8 + -2y + (4x + xy)) = 6 Reorder the terms: (-8 + 4x + xy + -2y) = 6 (-8 + 4x + xy + -2y) = 6 Solving -8 + 4x + xy + -2y = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 4x + xy + 8 + -2y = 6 + 8 Reorder the terms: -8 + 8 + 4x + xy + -2y = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 4x + xy + -2y = 6 + 8 4x + xy + -2y = 6 + 8 Combine like terms: 6 + 8 = 14 4x + xy + -2y = 14 Add '2y' to each side of the equation. 4x + xy + -2y + 2y = 14 + 2y Combine like terms: -2y + 2y = 0 4x + xy + 0 = 14 + 2y 4x + xy = 14 + 2y Reorder the terms: -14 + 4x + xy + -2y = 14 + 2y + -14 + -2y Reorder the terms: -14 + 4x + xy + -2y = 14 + -14 + 2y + -2y Combine like terms: 14 + -14 = 0 -14 + 4x + xy + -2y = 0 + 2y + -2y -14 + 4x + xy + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 -14 + 4x + xy + -2y = 0 The solution to this equation could not be determined.
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