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Step-by-step explanation:
Here we will, Provide index power 5 on both the sides, so that we can cancel out the 5th power root in the L.H.S
so we get as,
==> x+7 = (-2)^5
==> x+7 = -32
==> x = -32-7
==> x = -39
hence, x = -39
Option A.) is correct.