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Simplifying (8 + x)(8 + y) = 169 Multiply (8 + x) * (8 + y) (8(8 + y) + x(8 + y)) = 169 ((8 * 8 + y * 8) + x(8 + y)) = 169 ((64 + 8y) + x(8 + y)) = 169 (64 + 8y + (8 * x + y * x)) = 169 (64 + 8y + (8x + xy)) = 169 Reorder the terms: (64 + 8x + xy + 8y) = 169 (64 + 8x + xy + 8y) = 169 Solving 64 + 8x + xy + 8y = 169 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + 8x + xy + -64 + 8y = 169 + -64 Reorder the terms: 64 + -64 + 8x + xy + 8y = 169 + -64 Combine like terms: 64 + -64 = 0 0 + 8x + xy + 8y = 169 + -64 8x + xy + 8y = 169 + -64 Combine like terms: 169 + -64 = 105 8x + xy + 8y = 105 Add '-8y' to each side of the equation. 8x + xy + 8y + -8y = 105 + -8y Combine like terms: 8y + -8y = 0 8x + xy + 0 = 105 + -8y 8x + xy = 105 + -8y Reorder the terms: -105 + 8x + xy + 8y = 105 + -8y + -105 + 8y Reorder the terms: -105 + 8x + xy + 8y = 105 + -105 + -8y + 8y Combine like terms: 105 + -105 = 0 -105 + 8x + xy + 8y = 0 + -8y + 8y -105 + 8x + xy + 8y = -8y + 8y Combine like terms: -8y + 8y = 0 -105 + 8x + xy + 8y = 0 The solution to this equation could not be determined.
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