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Simplifying (10x + y)(10y + x) = 1008 Reorder the terms: (10x + y)(x + 10y) = 1008 Multiply (10x + y) * (x + 10y) (10x * (x + 10y) + y(x + 10y)) = 1008 ((x * 10x + 10y * 10x) + y(x + 10y)) = 1008 Reorder the terms: ((100xy + 10x2) + y(x + 10y)) = 1008 ((100xy + 10x2) + y(x + 10y)) = 1008 (100xy + 10x2 + (x * y + 10y * y)) = 1008 (100xy + 10x2 + (xy + 10y2)) = 1008 Reorder the terms: (100xy + xy + 10x2 + 10y2) = 1008 Combine like terms: 100xy + xy = 101xy (101xy + 10x2 + 10y2) = 1008 Solving 101xy + 10x2 + 10y2 = 1008 Solving for variable 'x'. Reorder the terms: -1008 + 101xy + 10x2 + 10y2 = 1008 + -1008 Combine like terms: 1008 + -1008 = 0 -1008 + 101xy + 10x2 + 10y2 = 0 The solution to this equation could not be determined.
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