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2x+3+x+1=4\left(x+1\right)
Variable x cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by x+1.
3x+3+1=4\left(x+1\right)
Combine 2x and x to get 3x.
3x+4=4\left(x+1\right)
Add 3 and 1 to get 4.
3x+4=4x+4
Use the distributive property to multiply 4 by x+1.
3x+4-4x=4
Subtract 4x from both sides.
-x+4=4
Combine 3x and -4x to get -x.
-x=4-4
Subtract 4 from both sides.
-x=0
Subtract 4 from 4 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -1 is not equal to 0, x must be equal to 0.