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x+400-5x\leq 105
Use the distributive property to multiply 5 by 80-x.
-4x+400\leq 105
Combine x and -5x to get -4x.
-4x\leq 105-400
Subtract 400 from both sides.
-4x\leq -295
Subtract 400 from 105 to get -295.
x\geq \frac{-295}{-4}
Divide both sides by -4. Since -4 is negative, the inequality direction is changed.
x\geq \frac{295}{4}
Fraction \frac{-295}{-4} can be simplified to \frac{295}{4} by removing the negative sign from both the numerator and the denominator.