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Answer: ⇒⇒⇒⇒⇒ [tex]x<-8[/tex]

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Step-by-step explanation:

First you had to divide by 8 from both sides of equation.

[tex]\frac{-8(-6x+7)}{8}<\frac{-440}{8}[/tex]

Simplify.

[tex]6x-7<-55[/tex]

Then you had to add by 7 from both sides of equation.

[tex]6x-7+7<-55+7[/tex]

Simplify.

[tex]6x<-48[/tex]

Divide by 6 from both sides of equation.

[tex]\frac{6x}{6}<\frac{-48}{6}[/tex]

Simplify it should be the correct answer.

[tex]x<-8[/tex]

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-Charlie

The value of x is less than -8.

-8(-6x + 7) < -440

Distributive property.

48x - 56 < -440

Add 56 to both sides.

48x < -384

Divide both sides by 48.

x < -8