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x^{2}+4=x^{2}+4x+3
Use the distributive property to multiply x+1 by x+3 and combine like terms.
x^{2}+4-x^{2}=4x+3
Subtract x^{2} from both sides.
4=4x+3
Combine x^{2} and -x^{2} to get 0.
4x+3=4
Swap sides so that all variable terms are on the left hand side.
4x=4-3
Subtract 3 from both sides.
4x=1
Subtract 3 from 4 to get 1.
x=\frac{1}{4}
Divide both sides by 4.