Final answer:
The Declaration of Independence criticized the king for keeping standing armies in times of peace without legislative consent and for quartering large bodies of armed troops among the colonists, reflecting their grievances with the Quartering Act.
Step-by-step explanation:
The colonists expressed their grievances regarding the Quartering Act in the Declaration of Independence with specific complaints about British forces overstepping in the colonies. Specifically, the Declaration states that the king 'kept among us, in times of peace, Standing Armies without the Consent of our legislatures' and 'quartered large bodies of armed troops among us.' These statements elucidate the colonists' frustration with having to maintain and house British troops during peacetime without their legislative body's approval, which they saw as an infringement on their rights and an unreasonable burden.