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4x+12-\left(1-x\right)=1
Use the distributive property to multiply 4 by x+3.
4x+12-1-\left(-x\right)=1
To find the opposite of 1-x, find the opposite of each term.
4x+12-1+x=1
The opposite of -x is x.
4x+11+x=1
Subtract 1 from 12 to get 11.
5x+11=1
Combine 4x and x to get 5x.
5x=1-11
Subtract 11 from both sides.
5x=-10
Subtract 11 from 1 to get -10.
x=\frac{-10}{5}
Divide both sides by 5.
x=-2
Divide -10 by 5 to get -2.