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