Limits: x Approaching Negative Infinity makes -x but why?

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I came across this particular question on my maths textbook while I was revising for my exams.

This is the question and the solution from the book publisher

My solution for the question is 1, and Photomath said:

$x$ is negative since $x$ approaches negative infinity

I can’t find any examples on the book that explains the problems, so now I am reaching out for help here for an explanation for this. Thanks!

P.S I have no idea of the code for displaying an equation, so both the question and the correct solution were uploaded as an image

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It is -1 since the numerator is positive (Since the leading term is $3|x|$) and the denominator approaches -$\infty$ which is negative and a positive divided by a negative is always negative even in the limit.