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Answer:
0
Step-by-step explanation:
Two cases: if [tex]x\ge0[/tex]
[tex]|x| - |-x| = x - x= 0[/tex]
Instead if [tex]x<0[/tex]
[tex]|x| -|-x| = -x -(-x)=-x+x=0[/tex]
Alternatively you can try to graph both [tex]f(x) = |x|; g(x)=|-x|[/tex] and checking the vertical distance between the two graphs