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1
First, get a large pot of generously salted water going on the stove. While it comes to a boil, prepare the garlic and parsley: chop the garlic cloves coarsely. If you chop the garlic too finely, it will brown and become bitter more easily. Coarsely chopped garlic will stay sweeter. Chop the parsley medium fine (chopping the parsley after the garlic will help take away the smell of garlic from your fingers).
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2
In a saucepan large enough to hold all the pasta, add the olive oil and heat over medium heat. Add the garlic and red pepper flakes, and cook, stirring and watching carefully to make sure the garlic doesn't burn. Feel free to scale up the amount of red pepper flakes if you want more of a kick. When you start to get a hint of color in the garlic, turn off the heat and move the pan off the heat. The garlic will continue to cook in the hot oil and you don't want it to brown.
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3
Hopefully at this point, the water is boiling; add your pasta. While the pasta cooks, fry the eggs over easy in either a bit of butter or a few drops of oil. Be gentle and be attentive: you want a runny yoke. After the eggs are done, sprinkle them with salt and pepper and keep covered.
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4
Just before the pasta is cooked al dente, reserve a half cup of pasta water; put the sauce back onto medium-low heat, and add a pat of butter and the parsley to it. The butter is optional, but will give the finished pasta and extra silkiness. Add salt and black pepper to the sauce to taste.
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5
Drain the pasta and add to the sauce; toss to make sure everything is coated, adding a few tablespoons or more of the reserved pasta water to keep everything saucy. Add one of the fried eggs to the pasta, break it up, and mix it in.
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6
Either serve the pasta with the remaining eggs on the side, or else plate the pasta, topping each serving with an egg. There is great pleasure in jabbing the egg and mixing the runny yolk into the sauce.
