Complex sentence: Most of the protesters espoused left-wing causes, communism or anarchism, and many saw the events as an opportunity to shake up the "old society" in many social aspects, including methods of education, sexual freedom and free love.
Split into simpler sentences: Most of the protesters espoused left-wing causes, communism or anarchism. Many saw the events as an opportunity to shake up the "old society" in many social aspects, including methods of education, sexual freedom and free love.