I would move some words around: John Doe, carrying his school bag, goes to school near his home almost every morning. or Carrying his school bag, John Doe goes to school near his home almost every morning. and John Does sees a beggar who is holding a large paper box with a big opening at the top, soliciting for money.
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AnonymousJohn Doe goes school near his home carrying his school bag almost every morning.This is a wrong construction. Participle clause modifies the preceeding noun which is not the case with you example.