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Simplifying (x + 8)(y + -4) = 90 Reorder the terms: (8 + x)(y + -4) = 90 Reorder the terms: (8 + x)(-4 + y) = 90 Multiply (8 + x) * (-4 + y) (8(-4 + y) + x(-4 + y)) = 90 ((-4 * 8 + y * 8) + x(-4 + y)) = 90 ((-32 + 8y) + x(-4 + y)) = 90 (-32 + 8y + (-4 * x + y * x)) = 90 (-32 + 8y + (-4x + xy)) = 90 Reorder the terms: (-32 + -4x + xy + 8y) = 90 (-32 + -4x + xy + 8y) = 90 Solving -32 + -4x + xy + 8y = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + -4x + xy + 32 + 8y = 90 + 32 Reorder the terms: -32 + 32 + -4x + xy + 8y = 90 + 32 Combine like terms: -32 + 32 = 0 0 + -4x + xy + 8y = 90 + 32 -4x + xy + 8y = 90 + 32 Combine like terms: 90 + 32 = 122 -4x + xy + 8y = 122 Add '-8y' to each side of the equation. -4x + xy + 8y + -8y = 122 + -8y Combine like terms: 8y + -8y = 0 -4x + xy + 0 = 122 + -8y -4x + xy = 122 + -8y Reorder the terms: -122 + -4x + xy + 8y = 122 + -8y + -122 + 8y Reorder the terms: -122 + -4x + xy + 8y = 122 + -122 + -8y + 8y Combine like terms: 122 + -122 = 0 -122 + -4x + xy + 8y = 0 + -8y + 8y -122 + -4x + xy + 8y = -8y + 8y Combine like terms: -8y + 8y = 0 -122 + -4x + xy + 8y = 0 The solution to this equation could not be determined.
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