The purpose of this study is to evaluate the safety and effectiveness of this investigational drug, brigatinib (AP261136) in patients with advanced non-small cell lung cancer Non-small cell lung cancer (NSCLC) who have had first-line treatment for their cancer and it still got worse, even after, or while taking drugs called ALK inhibitors, or anti-cancer drugs that act on tumors. Some examples of these anti-cancer drugs are: KEYTRUDA® or ALECENSA®).