Drizzle olive oil into skillet over medium heat on the stove. Add in mushrooms, onion, and garlic and sauté until slightly tender, about 3 to 5 minutes.
Add in red pepper slices and kale. Sauté another 5 minutes.
Make three indentations in the kale with the back of a spoon. Crack an egg into each of the depressions.
Place the skillet into the preheated oven and cook until the egg has reached your preferred amount of doneness, 3-5 minutes. Add salt and pepper, to taste.