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drizzle a large skillet with sesame oil.
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over medium-high heat, cook shrimp, peppers, broccoli, and carrots until veggies are tender and shrimp is pink, 5 to 7 minutes.
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whisk together all sauce ingredients and add to pan.
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bring to a boil, then reduce to a simmer.
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stir in noodles and green onions and cook, 3 to 4 minutes longer.
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serve immediately.