Place bacon on a large sheet pan. Place the pan in a cool oven. Set the temperature to 400°F. Bake 18-20 minutes or until the bacon is cooked through with a slight crisp. Transfer the cooked bacon to a paper towel lined plate to drain the excess grease. Once slightly cooled, break the slices in half.
Lower the oven temperature to 350°F.
In a small bowl, add 5 of the eggs, 1 tablespoon water, salt, and black pepper. Whisk until well combined.
Heat butter or oil in a skillet over medium heat. Once hot, add the egg mixture. Cook in a single layer, flipping once with a spatula, until the eggs are set. Transfer to a plate.
Unroll the crescent roll dough and separate into 8 triangles. Slightly flatten the short side of the dough to create a base for the filling.
Place one half on each slice of cheese on the flattened piece of dough.
On top of each cheese layer, evenly disperse the scrambled eggs followed by 2 halves of the cooked bacon on each.
Gently roll up each crescent, giving the dough a slight stretch before rolling around the filling. Press the point into the dough to secure.
Whisk the remaining egg white in a small bowl, then brush the tops of the rolls. Sprinkle with black pepper, if desired.
Bake 16-20 minutes, or until the crescent rolls are golden brown. Serve warm.