your inequality is:
8x + 24 >= 7x - 14 + x
combine like terms to get:
8x + 24 >= 8x - 14
subtract 8x from both sides of the inequality to get:
24 >= -14.
since x dropped out of the inequality, this is true regardless of the value of x.
the solution is the set of all x such that minus infinity < x < plus infinity.
in interval notation, i believe the answer will be x = (-infinity, plus infinity)
on a number line, i believe the answer will be:
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minus infinity plus infinity
here's a reference on interval notation.
https://www.varsitytutors.com/hotmath/hotmath_help/topics/interval-notation