You take the blue pill – the story ends, you wake up in your bed and believe whatever you want to believe. You take the red pill – you stay in Wonderland, and I show you how deep the rabbit hole goes. Remember, all I'm offering is the truth – nothing more.
Say someone deposits $100 cash (federal reserve notes) into Bank A. Let's say the reserve ratio is 20%. It takes $80 and loans it to someone, who deposits in the same bank. It then takes $64 of that and loans it to someone who deposits in the same bank. It then takes $51 of that and loans it to someone who takes out cash and holds it.
The bank has the following assets: $20 + $16 + $13 in reserve, plus loans of $80 + $64 + $51 = $244.
It has the following liabilities: $100 + $80 + $64 = $244.
Now, if those loans don't get repaid, the bank might not remain solvent, but that has nothing to do with fractional reserve banking. Any entity that is solvent on the books can be rendered insolvent by loans going bad.