Complex sentence: Campbell resigned from the executive committee immediately thereafter, saying that she could not accept the new mayor's approach to politics; she indicated that she would serve out the remainder of her term and retire from public life at the next municipal election.
Split into simpler sentences: Campbell resigned from the executive committee immediately thereafter, saying that she could not accept the new mayor's approach to politics. She also indicated that she would serve out the remainder of her term and retire from public life at the next municipal election.