Simplify the following text for a Grade 8 native English-speaking person.
Original: Bothwell is a small town in South Lanarkshire , Scotland , that lies on the right bank of the River Clyde , adjacent to Hamilton and nine miles east-south-east of Glasgow .
Simplified: Bothwell is a small town in the South Lanarkshire council area of Scotland . It lies on the north bank of the River Clyde , adjacent to Hamilton , nine miles east-south-east of Glasgow city center .