After the Battle of Chaeronea (338 B.C.E.), the Greek city-states were required to take an oath of loyalty to Philip of Macedon.

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This is true. After Philip's victory at the Battle of Chaeronea, he established himself as the dominant power in Greece and required the other Greek city-states to swear loyalty to him. This allowed him to establish the League of Corinth, a federation of Greek states under Macedonian leadership.