Answer
$(-\infty,-2]$
Work Step by Step
Step 1. From $3(2x-1)-2(x-4)\geq7+2(3+4x)$, we have $4x+5\geq8x+13$. Thus $4x\leq-8$ or $x\leq-2$ and in interval notation $(-\infty,-2]$
Step 2. See graph for the interval on a number line.
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