44.67=(0.2*x)+(0.9*x*0.05)+3.5

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Solution for 44.67=(0.2*x)+(0.9*x*0.05)+3.5 equation: 


Simplifying
44.67 = (0.2x) + (0.9x * 0.05) + 3.5

Reorder the terms for easier multiplication:
44.67 = (0.2x) + (0.9 * 0.05x) + 3.5

Multiply 0.9 * 0.05
44.67 = (0.2x) + (0.045x) + 3.5

Reorder the terms:
44.67 = 3.5 + (0.2x) + (0.045x)

Combine like terms: (0.2x) + (0.045x) = 0.245x
44.67 = 3.5 + 0.245x

Solving
44.67 = 3.5 + 0.245x

Solving for variable 'x'.

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

Add '-0.245x' to each side of the equation.
44.67 + -0.245x = 3.5 + 0.245x + -0.245x

Combine like terms: 0.245x + -0.245x = 0.000
44.67 + -0.245x = 3.5 + 0.000
44.67 + -0.245x = 3.5

Add '-44.67' to each side of the equation.
44.67 + -44.67 + -0.245x = 3.5 + -44.67

Combine like terms: 44.67 + -44.67 = 0.00
0.00 + -0.245x = 3.5 + -44.67
-0.245x = 3.5 + -44.67

Combine like terms: 3.5 + -44.67 = -41.17
-0.245x = -41.17

Divide each side by '-0.245'.
x = 168.0408163

Simplifying
x = 168.0408163

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