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Heat olive oil in a large pot over medium-high heat. Add garlic and onions and cook, stirring, until onions begin to brown.
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Add crushed tomatoes, chili powder, cumin, cayenne pepper, and juice of ½ lime.
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Bring mixture to a boil, stirring constantly.
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Add chicken broth; reduce heat to low and simmer 10-15 minutes.
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Stir in chicken.
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Serve, topped with your choice of fixings!