In a large skillet over medium heat, melt 1/2 tbsp butter with 1 tsp olive oil. Add minced garlic and a pinch of red pepper flakes (if using), sautéing until the garlic is fragrant (about 1 minute).
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Increase heat to medium-high. Add the shrimp and cook until they turn pink and opaque, about 2–3 minutes per side. Remove shrimp from the skillet and set aside.
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Bring a pot of salted water to a boil. Add the pasta and cook according to package directions until al dente. Drain and set aside.
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In the same skillet, add white wine and lemon juice, simmering for 2 minutes to reduce slightly.
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Add the remaining 1/2 tbsp butter and lemon zest, then season with salt and pepper. Stir until the butter melts and the sauce becomes emulsified.
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Return the shrimp to the skillet. Add the cooked pasta, tossing to coat with the sauce. Cook for 1–2 minutes until everything is heated through.
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Garnish with chopped parsley and Parmesan (if desired), and serve immediately.
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