'All Israel' in the Bible

So the priests, Levites, gatekeepers, temple singers, some of the people, temple servants, and all Israel settled in their towns.When the seventh month came and the Israelites had settled in their towns, >

So in the days of Zerubbabel and Nehemiah, all Israel contributed the daily portions for the singers and gatekeepers. They also set aside daily portions for the Levites, and the Levites set aside daily portions for the descendants of Aaron.

Didn’t King Solomon of Israel sin in matters like this? There was not a king like him among many nations. He was loved by his God and God made him king over all Israel, yet foreign women drew him into sin.