Final answer:
A peaceful solution between England and the colonies was highly improbably after the battles of Lexington and Concord due to escalated tensions and movements toward independence, exemplified by the sending of the Declaration of Independence and the entrenchment of both sides.
Step-by-step explanation:
After the battles of Lexington and Concord, a peaceful solution between England and the colonies was highly unlikely. Tensions had escalated significantly, with acts such as the closing of Boston Harbor and the British response to the Boston Tea Party in 1774. The Second Continental Congress convened in May 1775, originally with considerations of reconciliation, but shifted towards forming a government for the colonies in revolt and eventually sent the Declaration of Independence to Britain.
This signified a move toward independence, not reconciliation. Despite efforts like the Conciliatory Proposition from Prime Minister Lord North and the proposed imperial union by Joseph Galloway, which did not satisfy colonial demands, the course for revolution was already charted with the commencement of hostilities.
The harsh actions taken by the British, combined with sentiments from figures like Benjamin Franklin who expressed outrage over British aggression, and George III's own comments about 'blows must be exchanged', made it clear that positions had become too entrenched for a peaceful resolution. The Revolutionary War culminated at the Battle of Yorktown, and the revolution marked the transition to a new nation and new model of democracy that would influence global governance in the centuries that followed.