Without draining the cans, empty the chili, kidney beans, pinto beans, black beans, tomatoes, corn, and tomatoes and green chilies into a large pot over high heat. Bring to a boil, reduce the heat, and simmer for 10 to 15 minutes to bring all the flavors together. Add salt and pepper as needed.
Dice the cheese and stir it into the soup until melted. Serve immediately.