• Melt butter in medium saucepan over medium high heat. Add in onions and cook, stirring frequently until soft, about 3 minutes. Add in garlic and flour, and cook for about 1 minute, stirring constantly. While whisking, slowly pour in milk, chicken broth and broccoli. Cook, stirring constantly until mixture begins to gently boil and thicken, then reduce heat to a simmer and allow to cook, stirring very frequently, until broccoli is tender, about 5 - 7 minutes. Stir in cream. Remove from heat, stir in cheddar cheese, mixing until melted. Season with salt and pepper to taste. Serve warm with more cheddar if desired.
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