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Does the page crumple when it gets stuck? or does it just stop short with an error message?
Cleaning the rollers can be done in an innovative way: take a piece of clean good-quality rag cloth, not lint-shedding cloth, and cut it into an 8-by-several inches or 1/2 a foot, roughtly, rectangle.
Moisten that in rubbing alcohol solution, and, holding two corners, feed the 8-inch side into the ADF as if it were a sheet of paper, but hold it back, so that the rollers rub against it. They should rub off their dirt/grease accumulation that way. Once the jam signal sounds, you can stop holding the cloth back, and then release the rollers' grip on it and remove it. This way, hard-to-reach rollers can be cleaned.
See if that helps.
(If not: where does the jam occur, or where does the paper's leading edge stop? in the ADF.)
(And: how old is the Epson printer in question ? measured from date of purchase.)