To solve the equation \(8x + 1 = 162x - 4\), we will first rearrange it to isolate the variable \(x\).
- Start by moving all terms involving \(x\) to one side and constant terms to the other side:
\[ 8x + 1 + 4 = 162x \] \[ 8x + 5 = 162x \]
- Next, subtract \(8x\) from both sides:
\[ 5 = 162x - 8x \] \[ 5 = 154x \]
- Now, divide both sides by \(154\) to solve for \(x\):
\[ x = \frac{5}{154} \]
This fraction can be simplified. The greatest common divisor of 5 and 154 is 1, so \(\frac{5}{154}\) is in its simplest form.
Hence, the value of \(x\) is \(\frac{5}{154}\).
It appears that this answer was neither in the provided options nor matched any of them directly. Please check the options against the derived solution.