35.45=36.97x+(1-x)34.97

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Solution for 35.45=36.97x+(1-x)34.97 equation: 


Simplifying
35.45 = 36.97x + (1 + -1x) * 34.97

Reorder the terms for easier multiplication:
35.45 = 36.97x + 34.97(1 + -1x)
35.45 = 36.97x + (1 * 34.97 + -1x * 34.97)
35.45 = 36.97x + (34.97 + -34.97x)

Reorder the terms:
35.45 = 34.97 + 36.97x + -34.97x

Combine like terms: 36.97x + -34.97x = 2x
35.45 = 34.97 + 2x

Solving
35.45 = 34.97 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
35.45 + -2x = 34.97 + 2x + -2x

Combine like terms: 2x + -2x = 0
35.45 + -2x = 34.97 + 0
35.45 + -2x = 34.97

Add '-35.45' to each side of the equation.
35.45 + -35.45 + -2x = 34.97 + -35.45

Combine like terms: 35.45 + -35.45 = 0.00
0.00 + -2x = 34.97 + -35.45
-2x = 34.97 + -35.45

Combine like terms: 34.97 + -35.45 = -0.48
-2x = -0.48

Divide each side by '-2'.
x = 0.24

Simplifying
x = 0.24

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