Answer
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Step 1:I'll solve this step by step using the specified LaTeX formatting guidelines:
Step 2:: Expand the expression by multiplying (2x) by itself 4 times
\begin{align}
(2x)^{4} &= (2x)(2x)(2x)(2x) \end{align}
Step 3:: Multiply the coefficients
\begin{align}
&= 2 \cdot 2 \cdot 2 \cdot 2 \cdot x \cdot x \cdot x \cdot x \end{align}
Step 4:: Calculate the coefficient
\begin{align}
&= 2^{4} \cdot x^{4} \end{align}
Step 5:: Compute the final result
\begin{align}
&= 16x^{4} \end{align}
Final Answer
16x^{4}
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