Evaluate the Integral $\int - 7 x e ^ { - x } \mathrm {~d} x$

Evaluate the integral. $\int - 7 x e ^ { - x } \mathrm {~d} x$

A) $7 ( x + 1 ) e ^ { - x } + C$
B) $7 ( x - 1 ) e ^ { - x } + C$
C) $7 x e ^ { - x } + C$
D) $- 7 ( x - 1 ) e ^ { - x } + C$
E) $- 7 ( x + 1 ) e ^ { - x } + C$

Correct Answer:

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