Laws may have changed since I was a young 'un, but 14 was old enough to get a work permit and even a farm license (for driving) if you could swing it. I had a younger cousin who replaced his RROD'd X-box by eschewing presents for money on holidays and doing extra chores around town. Didn't take all that long.
It might be easier (albeit slightly more dishonest) but go 'Free Stuff/games -> Money -> Buy x-box'.