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-0.2x\geq -5.8+14.2
Add 14.2 to both sides.
-0.2x\geq 8.4
Add -5.8 and 14.2 to get 8.4.
x\leq \frac{8.4}{-0.2}
Divide both sides by -0.2. Since -0.2 is negative, the inequality direction is changed.
x\leq \frac{84}{-2}
Expand \frac{8.4}{-0.2} by multiplying both numerator and the denominator by 10.
x\leq -42
Divide 84 by -2 to get -42.