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-23+4x-12x\geq 1
Subtract 12x from both sides.
-23-8x\geq 1
Combine 4x and -12x to get -8x.
-8x\geq 1+23
Add 23 to both sides.
-8x\geq 24
Add 1 and 23 to get 24.
x\leq \frac{24}{-8}
Divide both sides by -8. Since -8 is negative, the inequality direction is changed.
x\leq -3
Divide 24 by -8 to get -3.