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3x-21=5\left(x+1\right)
Use the distributive property to multiply 3 by x-7.
3x-21=5x+5
Use the distributive property to multiply 5 by x+1.
3x-21-5x=5
Subtract 5x from both sides.
-2x-21=5
Combine 3x and -5x to get -2x.
-2x=5+21
Add 21 to both sides.
-2x=26
Add 5 and 21 to get 26.
x=\frac{26}{-2}
Divide both sides by -2.
x=-13
Divide 26 by -2 to get -13.