In the Personal Info section, next to ''Other State Income'', you can add as many states as you need to. See the image below. You will list TX as your resident state and add the other 5 states as nonresident (Other State Income) states.
Since you had very brief visits, you may not be required to file a return in every state. but each state is different, so I will leave you this link so that you can determine which states, if any, you need to file a state return for.
State
Department of Revenue List