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Step-by-step explanation:

-4(2x+3) = 2x+6-(8x+2)

-8x-12 = 2x + 6 -8x -2

cut off -8x two sides of the equation

-12 = 2x + 6 -2

-12 -4 = 2x

-16 = 2x

2x = -16

x = -8

The solution to the equation is [tex]x = -5[/tex]

The equation of the function is given as:

[tex]-4(2x + 3) = 2x + 6 - (8x + 2)[/tex]

Open the brackets

[tex]-8x - 6 = 2x + 6 - 8x - 2[/tex]

Evaluate the like terms

[tex]- 6 = 2x + 6 - 2[/tex]

Collect like terms

[tex]2x = -6 - 6 + 2[/tex]

Evaluate the like terms

[tex]2x = -10[/tex]

Divide through by 2

[tex]x = -5[/tex]

Hence, the solution to the equation is [tex]x = -5[/tex]

Read more about equations at:

https://brainly.com/question/13763238

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