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Preheat oven to 400 degrees F. On paper towel-lined plate, arrange tomatoes to draw out moisture.
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In large mixing bowl, combine flour and salt. Use pastry cutter to cut butter into flour.
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Add chilled water, 1 tablespoon at a time, to thicken dough.
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Transfer dough to floured surface. Form into ball (if making single-serving galettes, form into four balls). Using floured rolling pin, roll dough into circle. Transfer to baking sheet.
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In center of dough, arrange tomatoes, garlic and caramelized onions. Carefully fold edges up, overlapping lightly as you continue around circle.
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Brush crust with olive oil; sprinkle with salt. Bake 25 minutes, until golden.
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Top with goat cheese and drizzle of olive oil.