Partially freeze steak; slice across grain into 1/4-inch strips. Place in large bowl.
Combine all but 1 tablespoon oil, vinegar, soy sauce, 1/2 of the jalape?o, garlic, gingerroot and pepper flakes in small bowl. Pour mixture over beef; marinade 1 hour.
Drain beef; discard marinade. Heat remaining 1 tablespoon vegetable oil in large skillet over medium-high heat until hot. Add beef and remaining jalape?o; cook 3 to 5 minutes or until no longer pink. Combine beef, liquid from skillet, beans, carrots, cucumber and rice in large bowl. Toss to coat. Sprinkle with mint, if desired.
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