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8x+44\leq -52
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
8x\leq -52-44
Subtract 44 from both sides.
8x\leq -96
Subtract 44 from -52 to get -96.
x\leq \frac{-96}{8}
Divide both sides by 8. Since 8 is positive, the inequality direction remains the same.
x\leq -12
Divide -96 by 8 to get -12.