Complex sentence: On their 2011 run on the Mayhem Festival tour, Matt Heafy stated that "Built to Fall" would be their first radio single, and the live debut of "Caustic are the Ties that Bind" was played in San Francisco supporting Dream Theater.
Split into simpler sentences: On their 2011 run on the Mayhem Festival tour, Matt Heafy stated that "Built to Fall" would be their first radio single. Trivium played the live debut of "Caustic are the Ties that Bind" in San Francisco supporting Dream Theater.