Haha, brilliant! It's never mentioned, but Bethesda purposely added the detergent alongside the dirty clothing for the sake of scientific experimentation. They wanted to test out a new form of torture, mainly intended for monkey spies from Bermuda's hidden eighth island. The monkeys were cannibalizing all living matter for the sake of their deathray, and Bethesda was chosen to find a way to get information from their monkey minions that were captured. Bethesda decided to experiment on their gamers, much akin to Vault-Tec and McDonalds. That is why they never made a washing machine. Though to be serious for a moment about squeaky cleanliness, the idea is very easy to implement. One would have to simply make the washing machine models mentioned above into containers, add a script to give a clean version of any inserted cloths once the combination of detergent and water, plus cloths, is made, and viola. Though I'm not sure about animations, one could add sounds with a timer.