In a small bowl, combine chili powder, cumin, oregano, salt and pepper. Season pork shoulder with spice mixture, rubbing in thoroughly on all sides
Place garlic, onions, lime juice and seasoned pork shoulder into a slow cooker. Cover and cook on low heat for 8 hours or high for 4-5 hours
Remove pork shoulder from the slow cooker and shred the meat before returning to the pot with the juices; season with salt and pepper, to taste, if needed. Cover and keep warm for an additional 30 minutes
Preheat oven to broil. Place carnitas onto a baking sheet and broil until crisp and crusted, about 3-4 minutes
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