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Algebra Level 5

Let aa and bb be the roots of the equation x210cx11d=0 x^2 - 10cx - 11d = 0.
Also, cc and dd are the roots of the equation x210ax11b=0 x^2 - 10ax - 11b = 0.

Assuming a,b,ca, b, c and dd are distinct and non-zero, find the value of a+b+c+da + b + c+ d.

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