Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 5}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - (1 + 7x) - 6( - 7 - x) = 36}[/tex]
Distribute ( - ) sign through the parentheses
Similarly, distribute -6 through the parentheses
[tex] \dashrightarrow{ \sf{ - 1 - 7x + 42 + 6x = 36}}[/tex]
Collect like terms
[tex] \dashrightarrow \sf - 7x + 6x - 1 + 42 = 36[/tex]
[tex] \dashrightarrow \: \sf \: - x - 1 + 42 = 36[/tex]
The negative and positive integers are always subtracted but possess the sign of the bigger integer
[tex] \dashrightarrow{ \sf{ - x + 41 = 36}}[/tex]
Move 41 to right hand side and change it's sign
[tex] \dashrightarrow{\sf{- x = 36 - 41}}[/tex]
[tex] \dashrightarrow \sf \: - x = - 5[/tex]
Change the signs on both sides of the equation
[tex] \dashrightarrow \: \sf{x = 5}[/tex]
Hope I helped!
Best regards! :D
