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Preheat oven to 375.
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Beat sugar and butter until well blended.
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Beat in flour, vanilla and salt.
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Stir in oats.
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Form into a ball. (See photo).
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Cover and refrigerate cookie dough 1 hour.
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Line 2 baking sheets with parchment paper.
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Roll dough by tbsp full between palms into one inch balls. (I cut the dough ball into 24 equal portions, and then roll each portion into a ball.).
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Place dough balls on baking sheets, spacing 1 1/2 inches apart (cookies will spread during baking).
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Using bottom of drinking glass as aid, flatten cookies to 1 1/2-inch rounds. (See photo).
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Bake until cookies are golden brown, about 12 - 13 minutes, turning the cookie sheet once mid-way through baking.
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Let cookies rest on sheets 1 minute.
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Using spatula, transfer cookies to a rack and cool completely.