Stir together first 6 ingredients until blended.
Divide vinegar mixture and chicken between 2 large zip-top plastic freezer bags, and seal bags. Chill 2 to 8 hours, turning bags occasionally.
Preheat grill to 350° to 400° (medium-high) heat. Remove chicken from marinade, discarding marinade.
Grill chicken, covered with grill lid, 35 to 40 minutes or until done, turning occasionally.
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