To solve the inequality \(3x \leq 7\), we can isolate \(x\) by dividing both sides of the inequality by 3:
\[ x \leq \frac{7}{3} \]
This means the solution set includes all real numbers \(x\) that are less than or equal to \(\frac{7}{3}\).
In interval notation, the solution can be expressed as:
\[ (-\infty, \frac{7}{3}] \]
This indicates that \(x\) can take any value from negative infinity up to and including \(\frac{7}{3}\).
Thus, the best description of the solutions to the inequality \(3x \leq 7\) is that \(x\) can be any number less than or equal to \(\frac{7}{3}\).