We have to solve 2 tan x - 1 = -tan (-x)

Now we know that tan -x = - tan x

2 tan x - 1 = -tan (-x)

=> 2 tan x - 1 = tan (x)

=> tan x - 1 = 0

=> tan x = 1

=> x = arc tan 1

=> x = 45 degrees and 225 degrees.

**The required values of x = 45 degrees and x = 225 degrees**

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