Answer
Any number between $-6$ and $7$.
Work Step by Step
Given: $3x \lt 4x +6$ and $2x+1 \lt15$
$-x \lt 6$ and $2x \lt 14$
$x \gt -6$ and $x\lt7$
$-6 \lt x \lt 7$
Any number between $-6$ and $7$ makes both inequalities true.
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