Brown sausage links in a 12" non-stick skillet, according to directions. Remove to paper towel.
Combine hash browns, onion and bell pepper. Press into same skillet that you used to brown sausage links. Sprinkle potatoes with salt and pepper, cover, and let cook over medium-low heat for 10-15 minutes, or until bottom of hash browns is a light brown.
Meanwhile, beat two eggs. Pour over potatoes at the end of the 10 minutes, tilting skillet to coat top of potatoes. Add sausage links, in a spoke design, around the skillet. Cover, and let cook an additional 5 minutes, or until eggs are set. Turn off heat, sprinkle with cheese and cover until cheese is melted.