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3\times 3x+2\times 4x=408
Multiply both sides of the equation by 6, the least common multiple of 2,3.
9x+2\times 4x=408
Multiply 3 and 3 to get 9.
9x+8x=408
Multiply 2 and 4 to get 8.
17x=408
Combine 9x and 8x to get 17x.
x=\frac{408}{17}
Divide both sides by 17.
x=24
Divide 408 by 17 to get 24.