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Slice the chicken breast into long 1/2 inch wide strips.
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To make a marinade, drop the garlic cloves and jalapeno peppers through the feed tube of a food processor with the chopping blade in place and the motor running until chopped finely (10 seconds or so).
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Add the remaining ingredients and process until smooth (about another 10 seconds.) Pour the marinade over the chicken and let marinate for 2 hours at room temperature or overnight in the refrigerator, turning occasionally.
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Preheat the oven broiler.
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Drain the chicken, reserving the marinade.
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Arrange the chicken on a rack on a broiler tray and broil 3 inches from the heat source for 5 minutes; turn, baste with marinade, and broil for another five minutes.
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Serve with warmed tortillas, shredded lettuce, shredded cheese, chopped tomatoes and salsa verde.