Solve the equation. \[ 8[1-(-3 x-7)]=72 x+176 \]

Step 1 ：Distribute the 8 on the left side of the equation to get \(24x + 56 = 72x + 176\).

Step 2 ：Subtract 24x from both sides to get \(32x = 120\).

Step 3 ：Divide both sides by 32 to solve for x, which gives the final answer \(\boxed{x = -\frac{7}{3}}\).