4 - 7(х +3) < -9

To solve the inequality \( 4 - 7(x + 3) < -9 \), follow these steps:

1. Distribute \(-7\) across \((x + 3)\): \[ 4 - 7x - 21 < -9 \]

2. Combine like terms (specifically \(4 - 21\)): \[ -7x - 17 < -9 \]

3. Add \(17\) to both sides: \[ -7x < -9 + 17 \] \[ -7x < 8 \]

4. Divide both sides by \(-7\). Remember that when you divide by a negative number, you must flip the inequality sign: \[ x > \frac{8}{-7} \] \[ x > -\frac{8}{7} \]

So the solution to the inequality is: \[ x > -\frac{8}{7} \]