Select the simplified form of this expression. \[ \frac{8 x+4}{6 x+3} \]

To simplify the expression \(\frac{8x + 4}{6x + 3}\), we can start by factoring both the numerator and the denominator. The numerator can be factored as follows: \[ 8x + 4 = 4(2x + 1) \] For the denominator: \[ 6x + 3 = 3(2x + 1) \] Now substituting back, we get: \[ \frac{4(2x + 1)}{3(2x + 1)} \] As long as \(2x + 1 \neq 0\) (which means \(x \neq -\frac{1}{2}\)), we can cancel out \(2x + 1\): \[ \frac{4}{3} \] Thus, the simplified form of the expression \(\frac{8x + 4}{6x + 3}\) is \(\frac{4}{3}\).