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`7(-5+3x)=-182`

We simplify the equation to the form, which is simple to understand

7(-5+3x)=-182

Reorder the terms in parentheses

+(-35+21x)=-182

Remove unnecessary parentheses

-35+21x=-182

We move all terms containing x to the left and all other terms to the right.

+21x=-182+35

We simplify left and right side of the equation.

+21x=-147

We divide both sides of the equation by 21 to get x.

x=-7

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