$$- \frac { 1 } { x + 1 + x + 1 }$$
$-\frac{1}{2\left(x+1\right)}$
$$-\frac{1}{2x+1+1}$$
$$-\frac{1}{2x+2}$$
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$\frac{1}{2\left(x+1\right)^{2}}$