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If  $\mid 4X-7 \mid =5$ then the values of $2\mid X\mid -\mid -X\mid$ is:

  1. $\quad 2,\left(\dfrac{1}{3}\right)$
  2. $\left(\dfrac{1}{2}\right),3$
  3. $\left(\dfrac{3}{2}\right),9$
  4. $\left(\dfrac{2}{3}\right),9$
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$\mid 4X-7\mid = 5$  ,since it is in absolute form the regular form of this equation is given as

$(4X-7)= 5$

$(4X-7)=-5$

By solving the above equations we get the following answer

$X=\frac{1}{2}, X = 3$

Now $2\mid X\mid -\mid -X\mid = 2\mid X \mid  - \mid X| = \mid X \mid$.

So, our answer will be $B.$
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