1. The problem is to find the value of $x$ in the equation $132 = 8.16 \times 2 \times x \times 2$. 2. First, rewrite the equation clearly: $$132 = 8.16 \times 2 \times x \times 2$$ 3. Simplify the constants on the right side: $$8.16 \times 2 \times 2 = 8.16 \times 4 = 32.64$$ 4. So the equation becomes: $$132 = 32.64 \times x$$ 5. To solve for $x$, divide both sides by 32.64: $$x = \frac{132}{32.64}$$ 6. Calculate the division: $$x = 4.04$$ 7. Therefore, the value of $x$ is $4.04$.