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2x+2=1-\left(x-4\right)
Use the distributive property to multiply 2 by x+1.
2x+2=1-x-\left(-4\right)
To find the opposite of x-4, find the opposite of each term.
2x+2=1-x+4
The opposite of -4 is 4.
2x+2=5-x
Add 1 and 4 to get 5.
2x+2+x=5
Add x to both sides.
3x+2=5
Combine 2x and x to get 3x.
3x=5-2
Subtract 2 from both sides.
3x=3
Subtract 2 from 5 to get 3.
x=\frac{3}{3}
Divide both sides by 3.
x=1
Divide 3 by 3 to get 1.