37=-4(-x+6)+13

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Solution for 37=-4(-x+6)+13 equation:


Simplifying
37 = -4(-1x + 6) + 13

Reorder the terms:
37 = -4(6 + -1x) + 13
37 = (6 * -4 + -1x * -4) + 13
37 = (-24 + 4x) + 13

Reorder the terms:
37 = -24 + 13 + 4x

Combine like terms: -24 + 13 = -11
37 = -11 + 4x

Solving
37 = -11 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
37 + -4x = -11 + 4x + -4x

Combine like terms: 4x + -4x = 0
37 + -4x = -11 + 0
37 + -4x = -11

Add '-37' to each side of the equation.
37 + -37 + -4x = -11 + -37

Combine like terms: 37 + -37 = 0
0 + -4x = -11 + -37
-4x = -11 + -37

Combine like terms: -11 + -37 = -48
-4x = -48

Divide each side by '-4'.
x = 12

Simplifying
x = 12

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