Question

1. $33 + 4x \leq -(x + 7)$

Explanation:

Step1: Expand the right-hand side

$33 + 4x \leq -x - 7$

Step2: Add $x$ to both sides

$33 + 4x + x \leq -7$
$33 + 5x \leq -7$

Step3: Subtract 33 from both sides

$5x \leq -7 - 33$
$5x \leq -40$

Step4: Divide by 5 on both sides

$x \leq \frac{-40}{5}$
$x \leq -8$

Answer:

$x \leq -8$
The number line graph (closed dot at -8, arrow pointing left) matches this solution.