Answer: [tex]\huge {x = -\frac{16}{5} }[/tex]
Step-by-step 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
[tex]\boxed{x=-\frac{16}{5} }[/tex]
Hope this helps!! :)
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