Respuesta :

Estellia

Answer:

d) [tex]x=5[/tex]

Go to station 10

Step-by-step explanation:

[tex]-\left(1+7x\right)-6\left(-7-x\right)=36[/tex]

Expand:

[tex]-1-7x+42+6x=36[/tex]

[tex]-x+41=36[/tex]

Subtract 41 from both sides:

[tex]-x+41-41=36-41[/tex]

[tex]-x=-5[/tex]

Divide both sides by -1:

[tex]\frac{-x}{-1}=\frac{-5}{-1}[/tex]

[tex]x=5[/tex]

Given : A linear equation is given to us . The equation is - ( 1 + 7x ) - 6 ( -7 - x ) = 36 .

To Find : The value of x .

Solution : The linear equation given to us is - ( 1 + 7x ) - 6 ( -7 - x ) = 36 . Let's simplify this step by step to find the value of x .

⇒ - ( 1 + 7x ) - 6 ( -7 - x ) = 36

[tex]\red{\underline{\tt Step \:1- Open \:the\:brackets.}}[/tex]

⇒ - 1 - 7x +42 + 6x = 36 .

[tex]\red{\underline{\tt Step \:2- Group\: variables\:and\: constant\: terms.}}[/tex]

⇒ -7x + 6x -1 +42 = 36 .

[tex]\red{\underline{\tt Step \:3- Transfer \: variables\:on\:one\: side\:\&\: constant\:terms\;on\: other\: side..}}[/tex]

⇒ -x = 36 - 41

⇒ - x = -5

⇒ x = 5 .

[tex]\Large\boxed{\purple{\bf Value\:of\:x=5}}[/tex]

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