'All Israel' in the Bible

All Israel in the time of Zerubbabel and in the time of Nehemiah gave allotments to each of the singers and gate keepers on a daily basis, setting them apart to benefit the descendants of Levi. And the descendants of Levi set them apart to benefit the descendants of Aaron.

Didn't Solomon, king of Israel, sin by doing these things, even though among many nations there was no king like him who was loved by his God, and God made him king over all Israel? Even so, foreign women caused him to sin.