Question

Please help

Solve the equation.
Give your simplified answer as an improper fraction.
7(x + 1) = 1 – 2(5 – x)
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Answer 1

Answer:
`\huge {x = -(16)/(5) }`

Explanation:

Given equation

7 (x + 1) = 1 - 2 (5 - x)

Expand parentheses and apply the distributive property

7x + 7 = 1 - 10 + 2x

Combine like terms

7x + 7 = -9 + 2x

Subtract 2x on both sides

7x + 7 - 2x = -9 + 2x - 2x

5x + 7 = -9

Subtract 7 on both sides

5x + 7 - 7 = -9 - 7

5x = -16

Divide 5 on both sides

5x / 5 = -16 / 5

`\boxed{x=-(16)/(5) }`

Hope this helps!! :)

Please let me know if you have any questions

Answer 2

-16/5

Explanation:

7(x+1)=1-2(5-x)

7x+7=1-10+2x

7x-2x=1-10-7

5x = -16

x = -16/5