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Sprinkle beef with salt and pepper and dredge in flour.
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Heat oil and brown beef. You may want to divide it into two batches so it browns evenly. Transfer to slow cooker.
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Cool pan a little, then add onion, mushrooms and peppers and more oil if needed. Cook until onion is golden brown.
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Add a bit more flour and mix with the vegetables. Add broth or water and stir until smooth. Season with salt and pepper.
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Transfer vegetable mixture to slow cooker.
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Deglaze pan with red wine.
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Add tomato paste to slow cooker and stir. Cook for 7-8 hours on low.
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Adjust seasoning as neccessary while it's cooking.
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If goulash is too watery, make a slurry (mix flour or cornstarch with water or broth) , add to slow cooker and cook on high for 15-20 minutes.