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Veamos:
x+x/2+2x+3x=55
6x+x/2=55
12x/2+x/2=55
13x/2=55
13x=55(2)
13x=110
x=110/13
x=8.46
Vemos que "x" es 110/13 asi que no es un numero entero!
Buen dia!