(1-x)*80.45+x*61.7=64.4

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Solution for (1-x)*80.45+x*61.7=64.4 equation: 


Simplifying
(1 + -1x) * 80.45 + x * 61.7 = 64.4

Reorder the terms for easier multiplication:
80.45(1 + -1x) + x * 61.7 = 64.4
(1 * 80.45 + -1x * 80.45) + x * 61.7 = 64.4
(80.45 + -80.45x) + x * 61.7 = 64.4

Reorder the terms for easier multiplication:
80.45 + -80.45x + 61.7x = 64.4

Combine like terms: -80.45x + 61.7x = -18.75x
80.45 + -18.75x = 64.4

Solving
80.45 + -18.75x = 64.4

Solving for variable 'x'.

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

Add '-80.45' to each side of the equation.
80.45 + -80.45 + -18.75x = 64.4 + -80.45

Combine like terms: 80.45 + -80.45 = 0.00
0.00 + -18.75x = 64.4 + -80.45
-18.75x = 64.4 + -80.45

Combine like terms: 64.4 + -80.45 = -16.05
-18.75x = -16.05

Divide each side by '-18.75'.
x = 0.856

Simplifying
x = 0.856

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