Evaluate \(4x + \frac{1}{3}\) when \(x = \frac{3}{4}\).
Substitute \(x = \frac{3}{4}\) into the expression.
\(4x + \frac{1}{3} = 4 \cdot \frac{3}{4} + \frac{1}{3}\).
Simplify the multiplication.
\(4 \cdot \frac{3}{4} = 3\), so the expression becomes \(3 + \frac{1}{3}\).
Add the terms.
\(3 + \frac{1}{3} = \frac{9}{3} + \frac{1}{3} = \frac{10}{3}\).
\(\boxed{\frac{10}{3}}\)
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