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Mix all ingredients together in a medium sized mixing bowl, and knead until smooth (it will still be kind of sticky).
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Let the dough rest in the bowl (covered with a towel) for 30 minutes.
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Separate the dough into 2 parts.
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Roll one half of the dough until about 1/8" thick.
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Cut circles with a cookie cutter (i use a 3" cookie cutter).
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Add a teaspoon or so of filling (depending on how big your circles are. Don't put too much, or they will be hard to close.
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Fold the circles in half over the filling, and pinch closed. You can also press the edges with a fork to make sure they are sealed really well.
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Roll out the other half of the dough, and cut, fill, and seal.
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At this point you can freeze the pierogi for later, or you can cook them.
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To cook, (do them in batches small enough to fit in your frying pan), boil them for a few minutes,just until they float, and then fry in oil or butter, until brown on either side.