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|x+1|+|-x-1|=0 .....​

Răspuns :

[tex]\it |-x-1|=|-(x+1)|=|x+1|[/tex]

Ecuația  devine:

[tex]\it |x+1|+|x+1|=0 \Rightarrow 2|x+1|=0 \Rightarrow |x+1|=0 \Rightarrow x+1=0 \Rightarrow x=-1[/tex]