we have the inequality
x+1+1+6x > 3(x-4)-(x-4)
7x+2 > 2(x-4)
7x+2 > 2x-8
7x-2x > -8-2
5x > -10
x > -2
in a number line the solution is the interval (-2, infinite)
a shaded area at right of x=-2
see the attached figure
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