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ANSWER:

i {}^{3 + x}  + i {}^{4 + x}  + i {}^{5 + x}  + i {}^{6 + x}  = i {}^{x} (i {}^{3}  + i {}^{4}  + i {}^{5}  + i {}^{6} ) \\ =  i {}^{x} ( - i + 1 + i - 1) = 0



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