Find the range of values that satisfy the inequality
$- 5 < 3 x - 2 < 10$

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Solution

We have the given equation:
$- 5 < 3 x - 2 < 10$
$- 5 + 2 < 3 x < 10 + 2$
$- 3 < 3 x < 12$
$- 1 < x < 4$

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