7(-5x+2)=-406

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Solution for 7(-5x+2)=-406 equation: 


Simplifying
7(-5x + 2) = -406

Reorder the terms:
7(2 + -5x) = -406
(2 * 7 + -5x * 7) = -406
(14 + -35x) = -406

Solving
14 + -35x = -406

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-14' to each side of the equation.
14 + -14 + -35x = -406 + -14

Combine like terms: 14 + -14 = 0
0 + -35x = -406 + -14
-35x = -406 + -14

Combine like terms: -406 + -14 = -420
-35x = -420

Divide each side by '-35'.
x = 12

Simplifying
x = 12

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