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Step 1
Season salmon with salt and pepper and sprinkle with some of the lemon juice.
Step 2
Heat a large skillet over medium-high heat. Melt butter and oil together in the hot skillet. Add salmon; pan-fry for 3 minutes. Flip and cook until salmon is almost cooked through, 3 to 5 minutes.
Step 3
Sprinkle remaining lemon juice onto one side of the pan. Add mustard and dill and mix. Pour in cream, mix with a spoon, and tilt pan so sauce runs around the salmon fillets. Cook for a few minutes until sauce thickens. Season with salt. Serve salmon with sauce.