Complex sentence: Homer rushes after Ned to make amends, but loses sight of him and believes that Ned is lost in the desert, while Ned merely went to get a cup of tea to calm his anger, after which he went to see a movie.
Split into simpler sentences: Homer rushes after Ned to make amends, but loses sight of him and believes that Ned is lost in the desert. Actually, Ned merely went to get a cup of tea to calm his anger, after which he went to see a movie.