2007 AMC 12A Problem 19

Triangles ABC and ADE have areas 2007 and 7002, respectively, with B = (0,0), C = (223,0), D = (680,380), and E = (689,389). What is the sum of all possible x-coordinates of A?

\mathrm{(A)}\ 282 \qquad \mathrm{(B)}\ 300 \qquad \mathrm{(C)}\ 600 \qquad \mathrm{(D)}\ 900 \qquad \mathrm{(E)}\ 1200

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.