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3\times 3x-2x=42+x
Multiply both sides of the equation by 6, the least common multiple of 2,3,6.
9x-2x=42+x
Multiply 3 and 3 to get 9.
7x=42+x
Combine 9x and -2x to get 7x.
7x-x=42
Subtract x from both sides.
6x=42
Combine 7x and -x to get 6x.
x=\frac{42}{6}
Divide both sides by 6.
x=7
Divide 42 by 6 to get 7.