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Combine lettuce, cucumbers, and tomatoes and toss together, divvy up evenly into two bowls
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Add 1/2 the grated carrots and cabbage (optional) to each bowl set aside
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Whisk together dressing ingredients, set aside
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Slice steaks into 1/4" pieces and season both sides
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Heat a grill pan on high heat for three minutes
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Add butter, ghee or coconut oil and distribute on pan bottom evenly
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Add steak slices to one side of pan and eggs to the other
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Turn steak slices after searing for two minutes and cook second side for two minutes
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Place steak slices in bowl, drizzle steak and salad with dressing
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Remove eggs from pan when whites are cooked and center is runny and add to bowl
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Sprinkle eggs with sea salt and pepper, serve.