Question

hobbes and the social contract
the finall cause, end, or designe of men, (who naturally love liberty, and dominion over others,) in the introduction of that restraint upon themselves, (in which we see them live in common-wealths,) is . . . getting themselves out from that miserable condition of warre, which is necessarily consequent (as hath been shewn) to the naturall passions of men, when there is no visible power to keep them in awe.
according to hobbes, why do people form social contracts to \live in common-wealths\?
to gain dominion over others
to escape their miserable natural states
to enjoy their natural passions
to keep others in awe

Explanation:

The provided text from Hobbes states that the purpose of forming common-wealths (via social contract) is to escape the miserable "condition of Warre" that comes from unrestrained natural human passions without an authority to control them. This directly matches the option about escaping their miserable natural states, while the other options contradict the text (the goal is not to gain dominion, enjoy unrestrained passions, or keep others in awe, but to escape the warlike natural state).

Answer:

to escape their miserable natural states