Evaluate the following limits: \[ \lim _{x \rightarrow 0} \frac{5 x+4 \sin 3 x}{4 \sin 2 x+7 x} \]
Evaluate the following limits:
\[
\lim _{x \rightarrow 0} \frac{5 x+4 \sin 3 x}{4 \sin 2 x+7 x}
\]
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