Energy can neither be created nor destroyed (matter is energy)
When I say producing net energy I mean getting out more useful energy than we put in.
At the lowest level, the energy we received comes from the fact that the two nuclei fused have a lower energy state than they had individually and the remaining energy causes heat via the emission of neutrons
"causes heat"
Heat is the transfer of energy due to a temperature differential. I think you may want to review the highschool physics textbook.