-x - 1 -x - 1
e *sign(x) - |x|*e
$$- e^{- x - 1} \left|{x}\right| + e^{- x - 1} \operatorname{sign}{\left(x \right)}$$
-1 - x
(-2*sign(x) + 2*DiracDelta(x) + |x|)*e
$$\left(\left|{x}\right| + 2 \delta\left(x\right) - 2 \operatorname{sign}{\left(x \right)}\right) e^{- x - 1}$$
-1 - x
(-|x| - 6*DiracDelta(x) + 2*DiracDelta(x, 1) + 3*sign(x))*e
$$\left(- \left|{x}\right| - 6 \delta\left(x\right) + 2 \delta^{\left( 1 \right)}\left( x \right) + 3 \operatorname{sign}{\left(x \right)}\right) e^{- x - 1}$$