Original: American Idiot won the 2005 Grammy for "Best Rock Album" and the band swept the 2005 MTV music awards, winning a total of seven of the eight awards they were nominated for, including the coveted Viewer's Choice Award.
Simplified: American Idiot won the 2005 Grammy for "Best Rock Album" and the band won a total of seven of the eight awards they were nominated for, in the 2005 MTV music awards, also with the popular Viewer's Choice Award.