Heat olive oil in a 4-quart saucepan over medium high heat. Add onion and cook, stirring frequently, 3 to 5 minutes or until tender. Add carrots, roasted red peppers, garlic, chicken broth and seasonings. Bring to a boil; reduce heat and simmer, uncovered, 25 to 30 minutes.
Remove from heat. Carefully use an immersion blender to purée soup. Return soup purée to saucepan; add cheese.
Cook over low heat, stirring frequently, until cheese is melted.
Cooking tip: An immersion blender is a cool little handheld stick with a rotary blade on the end to purée soup right in the pot. They're fairly inexpensive, but you can use a blender if you prefer. Just be sure to allow the soup to cool slightly and vent the top before puréeing to avoid splatters on the ceiling.
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