Solve the following inequality. \[ \frac{x}{6}>-7 \]

Step 1 ：Translate the inequality \(\frac{x}{6}>-7\) into English: x divided by 6 is greater than -7.

Step 2 ：Multiply both sides of the inequality by 6 to isolate x: \(x > -42\).

Step 3 ：The solution to the inequality is any value of x that is greater than -42.

Step 4 ：Final Answer: \(\boxed{x > -42}\).