Stir the lemon zest, 3 tablespoons oil, 1 teaspoon oregano, 2 teaspoons garlic and the black pepper in a shallow nonmetallic dish or a gallon size resealable plastic bag. Add the shrimp and turn to coat. Cover the dish or seal the bag and refrigerate for 30 minutes. Heat the remaining oil in an 8-inch skillet over medium heat. Add the remaining garlic and cook and stir until tender. Stir in the lemon juice and remaining oregano. Remove the skillet from the heat. Add the butter and stir until the butter is melted. Keep warm.
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