.4x+(.4-45)+(3(.4-45))=x

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Solution for .4x+(.4-45)+(3(.4-45))=x equation: 


Simplifying
0.4x + (0.4 + -45) + (3(0.4 + -45)) = x

Combine like terms: 0.4 + -45 = -44.6
0.4x + (-44.6) + (3(0.4 + -45)) = x
0.4x + -44.6 + (3(0.4 + -45)) = x

Combine like terms: 0.4 + -45 = -44.6
0.4x + -44.6 + (3(-44.6)) = x

Multiply 3 * -44.6
0.4x + -44.6 + (-133.8) = x
0.4x + -44.6 + -133.8 = x

Reorder the terms:
-44.6 + -133.8 + 0.4x = x

Combine like terms: -44.6 + -133.8 = -178.4
-178.4 + 0.4x = x

Solving
-178.4 + 0.4x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-178.4 + 0.4x + -1x = x + -1x

Combine like terms: 0.4x + -1x = -0.6x
-178.4 + -0.6x = x + -1x

Combine like terms: x + -1x = 0
-178.4 + -0.6x = 0

Add '178.4' to each side of the equation.
-178.4 + 178.4 + -0.6x = 0 + 178.4

Combine like terms: -178.4 + 178.4 = 0.0
0.0 + -0.6x = 0 + 178.4
-0.6x = 0 + 178.4

Combine like terms: 0 + 178.4 = 178.4
-0.6x = 178.4

Divide each side by '-0.6'.
x = -297.3333333

Simplifying
x = -297.3333333

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