Complex sentence: Beginning in 1909, Bakst worked mostly as a stage-designer, designing sets for Greek tragedies, and, in 1908, he made a name for himself as a scene-painter for Diaghilev with the Ballets Russes.
Split into simpler sentences: Beginning in 1909, Bakst worked mostly as a stage-designer, designing sets for Greek tragedies. In 1908, he gained attention as a scene-painter for Diaghilev with the Ballets Russes.