Sorafenib With Capecitabine for Patients With Measurable Hepatocellular Carcinoma

This research study will evaluate Sorafenib (Nexavar®) and Capecitabine (Xeloda®) to see the following: * how effective this combination of study drugs will be in treating HCC * how long subjects respond to these study drugs * what types of side effects can be expected, and * how severe the side effects are All subjects in this study will receive: * Sorafenib twice a day by mouth * Capecitabine twice a day by mouth Treatment will be given in a 28-day treatment cycle. Subjects will take sorafenib every day of the cycle. Subjects will take capecitabine on days 1-7 and 15-21 of the cycle