Complex sentence: Pendulum opened for Linkin Park on several selected dates during the band's 2011 "A Thousand Suns" North American tour., also headlining their own tour and being supported by Innerpartysystem.
Split into simpler sentences: Pendulum opened for Linkin Park on several selected dates during the band's 2011 "A Thousand Suns" North American tour. That also headlining their own tour and being supported by Innerpartysystem.