The original expression is given by
\[ -3 e^{x} \cdot e^{x} \]
Using the property of exponents \( e^{a} \cdot e^{b} = e^{a+b} \), we can combine the exponents:
\[ -3 e^{x} \cdot e^{x} = -3 e^{2x} \]
The expression simplifies to
\[ -3 e^{2x} \]
This is the final simplified form of the original expression.
\(\boxed{-3 e^{2x}}\)
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