Answer
$\left( -\infty,-17 \right]
$
Work Step by Step
Using the properties of inequality, the expression $
7(2x+3)+4x\le7+5(3x-4)+x
$ simplifies to
\begin{array}{l}
14x+21+4x\le7+15x-20+x
\\
18x+21\le-13+16x
\\
18x-16x\le-13-21
\\
2x\le-34
\\
x\le-17
.\end{array}
In interval notation, the solution set is $
\left( -\infty,-17 \right]
$.