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1
Whisk together 1/4 cup lime juice, garlic powder, cumin, salt, and pepper in a large bowl; add the chicken breasts. Cover and refrigerate 1 to 2 hours, turning the chicken occasionally.
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2
Preheat an oven to 425 degrees F (220 degrees C).
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3
Fill a large pot with lightly salted water and bring to a rolling boil over high heat. Once the water is boiling, stir in the linguine, and return to a boil. Cook the pasta uncovered, stirring occasionally, until the pasta has cooked through, but is still firm to the bite, about 11 minutes. Drain well in a colander set in the sink. Transfer linguine to a large mixing bowl; add 2 tablespoons olive oil, the Parmesan cheese, and the quartered cherry tomatoes; toss until the pasta is evenly coated in oil.
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4
Heat 1 tablespoon olive oil in a skillet over medium heat. Cook the chicken breasts, turning once, until no longer pink in the center and the juices run clear, about 20 minutes. An instant-read thermometer inserted into the center should read at least 165 degrees F (74 degrees C).
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5
Meanwhile, arrange zucchini pieces on a baking sheet. Coat the zucchini with 1 tablespoon olive oil with a pastry brush. Place zucchini on middle rack in the oven, and bake, turning every 5 minutes, until nicely browned, 15 to 20 minutes.
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6
Melt the butter in a saucepan over medium heat. Add the cilantro and garlic, cook and stir 1 minute. Pour in the wine, chicken broth, and 2 tablespoons lime juice, and return to a simmer. Transfer the mixture to a blender and blend until smooth. Return the mixture to the sauce pan and stir in the cream and green onions; bring to a boil and remove from heat.
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7
Lay the zucchini pieces side by side on a serving platter and place the chicken breasts on the zucchini. Pour the cilantro cream sauce over the chicken. Serve with the pasta on the side.
