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3|x+5| <= 6
Divide both side by 3. You will get an equivalent inequality
|x + 5| <= 2, or, which is the same, |x - (-5)| <= 2.
The solution is the set of those x's that are remoted not far than 2 units from -5;
in other words, -5-2 <= x <= -5 + 2, or -7 <= x <= -3.
Answer. The solution set is -7 <= x <= -3, or, in the interval notation, the segment [-7,-3].
Solved, answered and explained.