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- Place oil in the bottom of a slow cooker. Add chicken breasts and thighs, 1 can of chile peppers, onion, garlic, cumin, 1/2 of the lime juice, salt, and pepper.
- Cook on Low until chicken is falling apart, about 8 hours.
- Remove chicken and shred with 2 forks.
- Return chicken to the slow cooker. Add remaining chile peppers and lime juice; stir. Test flavor and season with salt and pepper to taste.