Cut the beef into bite-sized pieces. Finely chop the onions and garlic, then dice the tomatoes and bell pepper.
In a large pot or Dutch oven, heat the oil over medium heat. Sauté the onions until translucent. Add the garlic and cook for a minute until fragrant.
Remove the pot from the heat and stir in the Hungarian sweet paprika. Mix well, then add the beef and brown on all sides.
Add the diced tomatoes and bell pepper. Season with salt and pepper, then pour in enough water to just cover the meat. Bring to a simmer, cover, and cook over low heat for 1.5-2 hours, or until the beef is very tender.
Meanwhile, cook the egg noodles in salted boiling water according to the package directions. Drain and keep warm.
Once the stew is ready, check the seasoning and add more salt or pepper if needed. Serve the beef stew over the cooked egg noodles. You can also serve it with fresh bread.
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