Hey ! mate
Answer:
Explanation:
In this question we have given an equation that is 3( x + 7 ) = -12 and we have asked to find the value of x + 7 and x .
We are starting our solution from here :
![\longmapsto \: 3( x + 7 ) = -12](https://img.qammunity.org/2023/formulas/mathematics/high-school/zz5nonco0357deb39u9k1g93umeihhfelc.png)
Transposing 3 to right hand side :
![\longmapsto \: x + 7 = ( - 12)/(3)](https://img.qammunity.org/2023/formulas/mathematics/high-school/usxs70tu7q0ryqwx7qy1jz3uox7ttufhzv.png)
Now , dividing -12 by 3 :
![\longmapsto \: \blue{\boxed{x + 7 = -4}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/7bi29ya969qxnxto1402l0uq42ml1jcpna.png)
- Therefore , value of x + 7 is - 4 .
Now ,
![\longmapsto \:x + 7 = - 4](https://img.qammunity.org/2023/formulas/mathematics/high-school/5gjwqls2lpdhacy1ulgl8sff7f17tw7slg.png)
Transposing 7 to right hand side :
![\longmapsto \:x = - 4 - 7](https://img.qammunity.org/2023/formulas/mathematics/high-school/b3c4b1m31omhf8docfi7nwy36b8vl53iro.png)
![\longmapsto \: \blue{ \boxed{x = - 11}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/b04o81ixwlv0oqf7zbl1lc8e9rinhklycu.png)
- Therefore , value of x is -11 .
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