Heat the vegetable oil in a large skillet or wok over medium-high heat.
Add the beaten eggs and scramble until fully cooked. Remove from skillet and set aside.
In the same skillet, add a bit more oil if necessary and toss in the mixed vegetables.
Stir-fry the vegetables for about 3-4 minutes until they're tender.
Add the cooked rice to the skillet, breaking up any clumps.
Pour in the soy sauce and sesame oil, mixing well to coat the rice.
Add the scrambled eggs back into the skillet and stir to combine.
Toss in the chopped green onions and season with salt and pepper.
Cook for an additional 2-3 minutes, allowing the flavors to meld.
Serve hot, garnished with extra green onions if desired.