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Place the chicken in a large slow cooker, and pour the chicken broth over the top.
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Season with salt, pepper, thyme, rosemary, onion powder, and minced garlic.
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Pour the cream of chicken soup over the chicken, then add the diced potatoes, and mixed vegetables.
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Cover and cook on Low for 6+ hours or High for 3–4 hours, until the chicken is tender.
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Remove the chicken, shred it with two forks, and return it to the slow cooker. Stir in the sour cream until everything is well combined.
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Bake the biscuits according to the package directions.
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To serve, spoon the chicken mixture into bowls and top each serving with a warm biscuit.