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Simplifying (x + 12)(y + 12) = 169 Reorder the terms: (12 + x)(y + 12) = 169 Reorder the terms: (12 + x)(12 + y) = 169 Multiply (12 + x) * (12 + y) (12(12 + y) + x(12 + y)) = 169 ((12 * 12 + y * 12) + x(12 + y)) = 169 ((144 + 12y) + x(12 + y)) = 169 (144 + 12y + (12 * x + y * x)) = 169 (144 + 12y + (12x + xy)) = 169 Reorder the terms: (144 + 12x + xy + 12y) = 169 (144 + 12x + xy + 12y) = 169 Solving 144 + 12x + xy + 12y = 169 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-144' to each side of the equation. 144 + 12x + xy + -144 + 12y = 169 + -144 Reorder the terms: 144 + -144 + 12x + xy + 12y = 169 + -144 Combine like terms: 144 + -144 = 0 0 + 12x + xy + 12y = 169 + -144 12x + xy + 12y = 169 + -144 Combine like terms: 169 + -144 = 25 12x + xy + 12y = 25 Add '-12y' to each side of the equation. 12x + xy + 12y + -12y = 25 + -12y Combine like terms: 12y + -12y = 0 12x + xy + 0 = 25 + -12y 12x + xy = 25 + -12y Reorder the terms: -25 + 12x + xy + 12y = 25 + -12y + -25 + 12y Reorder the terms: -25 + 12x + xy + 12y = 25 + -25 + -12y + 12y Combine like terms: 25 + -25 = 0 -25 + 12x + xy + 12y = 0 + -12y + 12y -25 + 12x + xy + 12y = -12y + 12y Combine like terms: -12y + 12y = 0 -25 + 12x + xy + 12y = 0 The solution to this equation could not be determined.
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