1. The problem involves simplifying the expression $ \frac{14x + 4}{5x} $.\n\n2. The formula for simplifying a fraction is to factor the numerator and denominator and then cancel any common factors.\n\n3. First, factor the numerator if possible. Here, $14x + 4 = 2(7x + 2)$.\n\n4. The denominator is $5x$, which cannot be factored further.\n\n5. Write the fraction with factored numerator:\n$$\frac{2(7x + 2)}{5x}$$\n\n6. Check for common factors between numerator and denominator. There are none, so no cancellation is possible.\n\n7. The simplified form of the expression is therefore:\n$$\frac{2(7x + 2)}{5x}$$\n\n8. This is the simplest form unless you want to write it as a sum of two fractions:\n$$\frac{14x}{5x} + \frac{4}{5x} = \frac{14}{5} + \frac{4}{5x}$$\n\n9. Note that $\frac{14x}{5x} = \frac{14}{5}$ because $x$ cancels out (assuming $x \neq 0$).\n\nFinal answer: $$\frac{2(7x + 2)}{5x}$$ or equivalently $$\frac{14}{5} + \frac{4}{5x}$$.