What are the possible side effects of the Moderna and Pfizer COVID-19 vaccines?

What are the possible side effects of the Moderna and Pfizer COVID-19 vaccines?

Possible side effects: Pain, redness, or swelling at the site where the shot was administered, and/or tiredness, headache, muscle pain, chills, fever, or nausea throughout the rest of the body. If these side effects occur, they should go away in a few days. A few side effects are serious, but rare. 7 days ago

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