AMC 12 2007a Problem 14

Let a, b, c, d, and e be distinct integers such that

What is $a+b+c+d+e$?

$\mathrm{(A)}\ 5 \mathrm{(B)}\ 17 \mathrm{(C)}\ 25 \mathrm{(D)}\ 27 \mathrm{(E)}\ 30$