Final answer:
The grievance stated in the Declaration of Independence regarding the dissolving of representative houses was a result of the Intolerable Acts imposed by the British Parliament, which aimed to punish and exert control over the American colonies after events like the Boston Tea Party.
Step-by-step explanation:
The grievance of dissolving representative houses 'repeatedly, for opposing with manly firmness his invasions on the rights of the people' in the Declaration of Independence refers to the actions taken by the British Crown under King George III after the scope of the Intolerable Acts. The Intolerable Acts, also known as the Coercive Acts, were a series of punitive measures taken by the British Parliament in response to colonial defiance, particularly the Boston Tea Party. These acts were designed to assert British authority over the colonies and included the closure of Boston Harbor, alterations to the Massachusetts Charter, and the Quartering Act revision, which allowed British troops to be housed in private buildings without the owners' consent.
As a result of these and other perceived injustices, the American colonies came together to articulate their grievances and to take collective action against British measures. These acts, particularly the Intolerable Acts, led to the Declaration of American Rights, which listed the colonists’ grievances against George III and affirmed the colonies' rejection of Parliamentary authority over their internal affairs. The direct impact of the Intolerable Act is what led to the inclusion of the particular grievance mentioned in the question within the Declaration of Independence.