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2\left(x-4+1\right)=x+1
Variable x cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by 2\left(x+1\right), the least common multiple of x+1,2.
2\left(x-3\right)=x+1
Add -4 and 1 to get -3.
2x-6=x+1
Use the distributive property to multiply 2 by x-3.
2x-6-x=1
Subtract x from both sides.
x-6=1
Combine 2x and -x to get x.
x=1+6
Add 6 to both sides.
x=7
Add 1 and 6 to get 7.