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3\times 3x+2\times 2x=3\left(1+3x\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3.
9x+2\times 2x=3\left(1+3x\right)
Multiply 3 and 3 to get 9.
9x+4x=3\left(1+3x\right)
Multiply 2 and 2 to get 4.
13x=3\left(1+3x\right)
Combine 9x and 4x to get 13x.
13x=3+9x
Use the distributive property to multiply 3 by 1+3x.
13x-9x=3
Subtract 9x from both sides.
4x=3
Combine 13x and -9x to get 4x.
x=\frac{3}{4}
Divide both sides by 4.