Prepare a grill for medium-high heat; brush the grates lightly with oil.
Mix the oil, herbes de Provence, 1 teaspoon salt and a few grinds of pepper in a small bowl. Rub the mixture all over the steak.
Grill the steak, turning once, until slightly charred and crisp and an instant-read thermometer registers 130 degrees F for medium-rare, about 7 minutes per side. Transfer to a cutting board to rest for 10 minutes. Thinly slice against the grain and serve with green beans and potatoes.
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