1. The problem appears to involve simplifying or evaluating the expression $4 \cdot 1 + \cos \theta \cdot 2 \cdot 2 \cos e x$. 2. First, rewrite the expression clearly: $$4 \times 1 + \cos(\theta) \times 2 \times 2 \cos(e x)$$ 3. Simplify the constants: $$4 + 4 \cos(\theta) \cos(e x)$$ 4. The expression is now $$4 + 4 \cos(\theta) \cos(e x)$$. 5. This is the simplified form; if you want to factor, factor out 4: $$4(1 + \cos(\theta) \cos(e x))$$. 6. This expression depends on the values of $\theta$ and $x$; without specific values, this is the simplest form.