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6x+4x+3x+2x=360
Multiply both sides of the equation by 12, the least common multiple of 2,3,4,6.
10x+3x+2x=360
Combine 6x and 4x to get 10x.
13x+2x=360
Combine 10x and 3x to get 13x.
15x=360
Combine 13x and 2x to get 15x.
x=\frac{360}{15}
Divide both sides by 15.
x=24
Divide 360 by 15 to get 24.