I would have them sign an addendum (like @Max T. suggests) similar to this one:This agreement serves as consent from the Landlord to permit Tenant(s) to attach and use a clothes washer and/or dryer within the aforementioned rental unit under the following conditions:Any damage to the Premises caused by water originating from the washer and/or its connecting hoses will repaired by the Landlord at the undersigned Tenant(s) expense.Tenant agrees to regularly maintain and clean lint/debris from the dryer unit itself as well as attached ducting.

But, if you don't want to lose your shirt, and maybe other worse pieces of clothing and anything else you own.....learn the laws that regulate your business. 

Whether that's tires or cars or clothing or apartments.  

But, you probably were anxious to get clean clothes.

They don't clean your clothes worth sh**.You need water to clean clothes.You need water to clean toilets.If the issue is the water bill, then meter the tenants and let them pay the water bill. 

So far I’ve filled about 15 garbage bags with food, clothes, and toiletries.

What if I just want to dry a load of clothes and don't want to tie up $10 from my bank account to do it?

None of our units are equipped for clothes washer or dryer so we installed new equipment in the laundry room.If you try to do anything on the cheap, you will pay for it in the market place. 

The cigarette smell lingers on the clothing of smokers and this smell seeps into the closets and interior of the home.

I get an email from my real estate agent today saying that: Tenant 1 is $150 behind because they had to buy school clothes, Tenant 2 is 2 months $900 behind, and Tenant 3 was behind but has paid up the owed $640.