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Place blueberries, sugar, balsamic and water in your food processor and puree until smooth. Pour though a strainer, reserve the juice and discard the solids.
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Place a pan with water to boil on the stove, add the sugar in and stir until dissolved. Remove from heat, pour in lime juice, stir. Cool.
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In a 2 quart pitcher, pour in simple syrup, blueberry puree, tequila and triple sec. Stir.
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Rim glasses with lime juice and coat in sugar. Drop in blueberries, add a lime slice and fill glasses to the top with ice.
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Pour in drink. Enjoy!