Complex sentence: Emmerich disposes of Brannom's body, then when the police question him at home (they found the list of people who owed Emmerich money), he hurriedly calls Angela Phinlay, his beautiful young mistress, to provide him with an alibi.
Split into simpler sentences: Emmerich disposes of Brannom's body, but the police find the corpse, along with the list of people who owed Emmerich money, and question him. After they leave, he hurriedly calls Angela Phinlay, his beautiful young mistress, to set up an alibi.