Answer:
The main "argument" is that King George has repeatedly infringed on the colonies and their governments. Each charge against King George is an example of how he has infringed on colonists' life, liberty, and property (the three rights guaranteed to individuals according to political philosopher John Locke) and how he has attempted to supersede their own colonial governments' authority.
This connects to another idea introduced by Locke, the right to rebel. Basically, if a government is not representing the people, if a government is oppressing the people, then the people have the right to overthrow that tyrannical government and institute a new one.
So essentially, the colonists are listing all the wrongs that King George has committed to show him that, in their eyes, he is a tyrannical leader who has oppressed the people and they are communicating to him that because of this, they are rebelling and instituting a new government.