AMC Entertainment Holdings Inc. and Carmike Cinemas Inc. said Monday they had agreed to a sweetened takeover deal at more than $800 million, after a vote to approve the deal was twice postponed following concerns among some Carmike shareholders that the sale price was too low.

Under the latest terms, Carmike shareholders can opt to receive either $33.06 in cash or 1.0819 shares of AMC, wherein 30% of Carmike’s outstanding shares are exchanged for AMC shares and 70% are exchanged for cash.

The companies valued the transaction at about $1.2 billion—consisting of about $585 million in cash and $250 million in stock, plus debt. The new offer is about 10% higher than AMC’s original $30-a-share all-cash offer.

The Carmike board has unanimously approved the amended agreement, and recommended shareholders vote in favor. Carmike Chief Executive Officer David Passman said the new agreement follows “extensive negotiations,” and he called it a “compelling” transaction.

The deal is expected to close by the end of the year.