Before, during, and after the Battle of the Bulge, the First Army fought the Germans in the Battle of Aachen, and the parallel 5-month long Battle of Hurtgen Forest to the south east of Aachen, as part of the main US effort to breach the Siegfried Line and advance through Germany to the Roer River. Hodges led First Army to liberate most of Luxembourg in three days, from September 9 through to September 12, 1944. The city of Aachen was captured on 22 October, but the German counter-offensive and the Battle of the Bulge took place before the other objectives could be completed. Once the Battle of the Bulge was won, the Hürtgen Forest was taken and on 10 February the Rur Dam was finally captured. The overall cost of the Siegfried Line Campaign in American personnel was close to 140,000.