1. The problem is to simplify the expression $e \times -e^x$. 2. Recall that $e$ is the base of the natural logarithm, and $e^x$ is the exponential function. 3. The expression can be rewritten as $e \times (-e^x)$. 4. Using the associative property of multiplication, this is $-(e \times e^x)$. 5. Since $e = e^1$, multiplying $e^1 \times e^x$ gives $e^{1+x}$ by the laws of exponents. 6. Therefore, the expression simplifies to $-e^{x+1}$. Final answer: $-e^{x+1}$