In modern versions of Python I'd suggest what SilentGhost posted (repeating here for clarity):
sum(i for i, j in list_of_pairs)
In an earlier version of this answer I had suggested this, which was necessary because SilentGhost's version didn't work in the version of Python (2.3) that was current at the time:
sum([pair[0] for pair in list_of_pairs])
Now that version of Python is beyond obsolete, and SilentGhost's code works in all currently-maintained versions of Python, so there's no longer any reason to recommend the version I had originally posted.