TRIANGULAR AREA

Triangle ABC, with cevians BD and CE, meeting at X.
In ΔABC, produce a line from B to AC, meeting at D, and from C to AB, meeting at E.  Let BD and CE meet at X.
Let 
ΔBXE have area a, ΔBXC have area b, and ΔCXD have area c.  Find the area of quadrilateral AEXD in terms of a, b, and c.

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