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Spread sesame seeds on baking sheet; bake in 350F oven for 15 minutes or until golden.
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Reserve half of the seeds; sprinkle remaining seeds over well-greased 13x9 cake pan; set aside.
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In saucepan, bring butter, sugars and water to a boil, stirring constantly.
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Cook, stirring often, until candy thermometer reaches soft-crack stage of 285F and when 1/2 tsp syrup dropped into very cold water separates into threads that are hard but not brittle.
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Immediately remove from heat; stir in baking soda.
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Pour over sesame seeds in prepared pan; let cool 5 minutes.
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Sprinkle with reserved sesame seeds, pressing lightly into toffee.
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Let cool until firm; break into pieces.
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Store toffee between sheets of waxed paper in an airtight container; keeps for about 1 month.