Solve for x

Algebra Level 2

Find the total number of values of xx satisfying

(3+1)2x+(31)2x=23x{ \left( \sqrt { 3 } +1 \right) }^{ 2x }+{ \left( \sqrt { 3 } -1 \right) }^{ 2x }={ 2 }^{ 3x }

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