Complex sentence: Bush turned down an invitation by the organisers of the 2012 Summer Olympics closing ceremony to perform at the event; instead, a recording of a new remix of her 1985 hit "Running Up that Hill" was played at the end of the ceremony.
Split into simpler sentences: Bush turned down an invitation by the organisers of the 2012 Summer Olympics closing ceremony to perform at the event. Instead a recording of a new remix of her 1985 hit "Running Up that Hill" was played at the end of the ceremony.