Alright, I was bored so I fiddled with this. If you assume that you never want chocolate, then 1) and 2) equal zero. (5*50+1754) = 2004. (2004 - your birthday) = your age. The 1754, 1753 thing just corrects for not having your birthday yet.
(((2x)+5)50 + 1754)-1986=100x+18
((2x+5)50 + 1754)-1986=100x+18
100x+250+1754-1986=100x+18
100x+2004-1986=100x+18
100x+18=100x+18
Probably not the most elegant proof out there, but...
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