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3x+6x+4x=84
Multiply both sides of the equation by 12, the least common multiple of 4,2,3.
9x+4x=84
Combine 3x and 6x to get 9x.
13x=84
Combine 9x and 4x to get 13x.
x=\frac{84}{13}
Divide both sides by 13.