Bring a large pot of salted water to a boil and cook the linguine until al dente, usually about 8-10 minutes.
While the pasta cooks, pat the shrimp dry with paper towels to ensure a good sear and season them with sea salt and black pepper.
In a large skillet over medium heat, combine the olive oil and butter until the butter begins to bubble and turn golden.
Add the minced garlic and red pepper flakes to the skillet, stirring constantly for about 60 seconds until the aroma is released.
Increase the heat to medium-high and add the shrimp in a single layer, cooking for 2 minutes on each side until they are pink and just firm.
Pour the white wine and lemon juice into the pan, using a wooden spoon to scrape up any flavorful bits stuck to the bottom.
Allow the liquid to simmer for 2 minutes to reduce slightly and concentrate the flavors.
Drain the pasta, reserving a splash of pasta water, then add the linguine directly to the skillet.
Toss everything together until the pasta is coated in the glossy sauce, adding a tablespoon of pasta water if needed for silkiness.
Remove from heat, sprinkle with freshly chopped parsley, and serve immediately.