Why did the Texas annexation issue cause debate during the presidencies of Andrew Jackson, Martin Van Buren, and John Tyler?

1.Annexation would increase Mexican influence on American politics and the economy.Annexation would increase Mexican influence on American politics and the economy. , ,

Annexation would be politically unpopular in the South and risked war with Russia.Annexation would be politically unpopular in the South and risked war with Russia. , ,

Annexation risked war with Mexico and threatened the balance of slave and free states.
Annexation risked war with Mexico and threatened the balance of slave and free states., , , ,

Annexation would be very expensive and risked war with Great Britain.

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Answer:

Annexation risked war with Mexico and threatened the balance of slave and free states.

Explanation:

During the period, in which there was strong and divide opinions among the political class and elites in the United States, there were series of Texas annexation issue leading to debates.

In the debate, those against the annexation of Texas stated their reason to be that "Annexation risked war with Mexico and threatened the balance of slave and free states."

This is based on the fact that Texas was just getting out of Mexico at this point, and they will also need to decide whether to be a slave or free state, which will then alter the existing balance at the time.