94+(.2x+((1-.2x)*.01)+(((1-.2x)*.01)*.03))=x

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Solution for 94+(.2x+((1-.2x)*.01)+(((1-.2x)*.01)*.03))=x equation: 


Simplifying
94 + (0.2x + ((1 + -0.2x) * 0.01) + (((1 + -0.2x) * 0.01) * 0.03)) = x

Reorder the terms for easier multiplication:
94 + (0.2x + (0.01(1 + -0.2x)) + (((1 + -0.2x) * 0.01) * 0.03)) = x
94 + (0.2x + ((1 * 0.01 + -0.2x * 0.01)) + (((1 + -0.2x) * 0.01) * 0.03)) = x
94 + (0.2x + ((0.01 + -0.002x)) + (((1 + -0.2x) * 0.01) * 0.03)) = x
94 + (0.2x + (0.01 + -0.002x) + (((1 + -0.2x) * 0.01) * 0.03)) = x

Remove parenthesis around (0.01 + -0.002x)
94 + (0.2x + 0.01 + -0.002x + (((1 + -0.2x) * 0.01) * 0.03)) = x

Reorder the terms for easier multiplication:
94 + (0.2x + 0.01 + -0.002x + ((0.01(1 + -0.2x)) * 0.03)) = x
94 + (0.2x + 0.01 + -0.002x + (((1 * 0.01 + -0.2x * 0.01)) * 0.03)) = x
94 + (0.2x + 0.01 + -0.002x + (((0.01 + -0.002x)) * 0.03)) = x

Reorder the terms for easier multiplication:
94 + (0.2x + 0.01 + -0.002x + (0.03(0.01 + -0.002x))) = x
94 + (0.2x + 0.01 + -0.002x + ((0.01 * 0.03 + -0.002x * 0.03))) = x
94 + (0.2x + 0.01 + -0.002x + ((0.0003 + -0.00006x))) = x
94 + (0.2x + 0.01 + -0.002x + (0.0003 + -0.00006x)) = x

Remove parenthesis around (0.0003 + -0.00006x)
94 + (0.2x + 0.01 + -0.002x + 0.0003 + -0.00006x) = x

Reorder the terms:
94 + (0.01 + 0.0003 + 0.2x + -0.002x + -0.00006x) = x

Combine like terms: 0.01 + 0.0003 = 0.0103
94 + (0.0103 + 0.2x + -0.002x + -0.00006x) = x

Combine like terms: 0.2x + -0.002x = 0.198x
94 + (0.0103 + 0.198x + -0.00006x) = x

Combine like terms: 0.198x + -0.00006x = 0.19794x
94 + (0.0103 + 0.19794x) = x

Remove parenthesis around (0.0103 + 0.19794x)
94 + 0.0103 + 0.19794x = x

Combine like terms: 94 + 0.0103 = 94.0103
94.0103 + 0.19794x = x

Solving
94.0103 + 0.19794x = 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.
94.0103 + 0.19794x + -1x = x + -1x

Combine like terms: 0.19794x + -1x = -0.80206x
94.0103 + -0.80206x = x + -1x

Combine like terms: x + -1x = 0
94.0103 + -0.80206x = 0

Add '-94.0103' to each side of the equation.
94.0103 + -94.0103 + -0.80206x = 0 + -94.0103

Combine like terms: 94.0103 + -94.0103 = 0.0000
0.0000 + -0.80206x = 0 + -94.0103
-0.80206x = 0 + -94.0103

Combine like terms: 0 + -94.0103 = -94.0103
-0.80206x = -94.0103

Divide each side by '-0.80206'.
x = 117.2110565

Simplifying
x = 117.2110565

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