Determine the value of \( k \) for which \( x+2 \) is a factor of \( (x+1)^{7}+(2 x+k)^{3} \)
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Determine the value of \( k \) for which \( x+2 \) is a factor of \( (x+1)^{7}+(2 x+k)^{3} \)
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