How do you remove armpit odor from your most expensive shirts?

Like most people, when i perspire my armpits begin to smell like a potent pot of boiling French Onion soup. The parking lot attendee at Disney world said he removed the French Onion soup smell by using a 50/50 mixture of bleach and chlorine. Not only did this eat a hole through my designer Cashmere shirt but i was also thrown out of the laundromat after complaints of other patrons having a burning sensation in their eyes and trouble breathing. All I want to do is remove this smell because it offends other people...what can i do ?