Answer
$-4 \lt x \lt 6$
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Work Step by Step
Given: $-5 \lt -2x +7 \lt 15$
$-5 \lt -2x +7 $ or $ -2x +7 \lt 15$
$-12 \lt -2x$ or $-2x \lt 8$
$x \lt 6$ or $x \gt -4$
$-4 \lt x \lt 6$
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