Complex sentence: Angela Reddock's political experience had been limited to serving on commissions with little power when she made her first run for political office in 2005 on the Los Angeles City Council in a district that was nearly 60% white and had relatively few black voters.
Split into simpler sentences: Angela Reddock's political experience had been limited to serving on commissions with little power when she made her first run for political office in 2005 on the Los Angeles City Council. The district at that time was nearly 60% white and had relatively few black voters.