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3\left(2x+3\right)=7\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 9\left(x+1\right), the least common multiple of 3x+3,9.
6x+9=7\left(x+1\right)
Use the distributive property to multiply 3 by 2x+3.
6x+9=7x+7
Use the distributive property to multiply 7 by x+1.
6x+9-7x=7
Subtract 7x from both sides.
-x+9=7
Combine 6x and -7x to get -x.
-x=7-9
Subtract 9 from both sides.
-x=-2
Subtract 9 from 7 to get -2.
x=2
Multiply both sides by -1.