Are you suggesting that people who live in New Hampshire and work in Massachusetts should be allowed to vote in BOTH places?
taxation without representation..... generally attributed to James Otis about 1761, that reflected the resentment of American colonists at being taxed by a British Parliament to which they elected no representatives and became an anti-British slogan before the American Revolution; in full, “Taxation without representation is tyranny.”
So what is to stop the state you work ‘in’ raising taxes only for those living out of state? You know the local voters would vote for such a plan.