Complex sentence: Danish Muslim organizations that objected to the depictions responded by petitioning the embassies of Islamic countries and the Danish government to take some form of action in response, and filed a judicial complaint against the newspaper, which was dismissed in January 2006.
Split into simpler sentences: Danish Muslim organizations that objected to the depictions responded by petitioning the embassies of Islamic nations and the Danish government to take some form of action in response. Some Islamic organizations filed a judicial complaint against the newspaper, which was dismissed in January 2006.