Taxation without representation means that the colonists believed that they should not be taxed by a government, if they were not even allowed to hold office in said government. The colonists considered this a problem because even though the French-Indian war had put a dent in British economy, the colonists were not even allowed to decide whether the war should happen in the first place. After all it was their homeland. In addition the colonists, not being allowed to hold office, could not propose any modifications to the taxes.
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