Based on the information provided in the map regarding the status of free and slave states, the main reasons Congress initially refused to annex Texas include:
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If the United States annexed Texas, it would almost certainly mean war with Mexico. This is supported by the historical context, as Mexico considered Texas a breakaway province, and its annexation by the U.S. would likely provoke conflict.
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If the United States annexed Texas, slave states would almost certainly outnumber free states. Texas was a slave state, and its annexation would increase the number of slave states in the Union, which was a major concern for those opposed to the expansion of slavery.
The other two options do not directly relate to the contents of the map provided. Therefore, the correct selections are the first and third options.