(62.9296)(x)+(64.9278)(1-x)=63.546

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Solution for (62.9296)(x)+(64.9278)(1-x)=63.546 equation: 


Simplifying
(62.9296)(x) + (64.9278)(1 + -1x) = 63.546
62.9296x + (1 * 64.9278 + -1x * 64.9278) = 63.546
62.9296x + (64.9278 + -64.9278x) = 63.546

Reorder the terms:
64.9278 + 62.9296x + -64.9278x = 63.546

Combine like terms: 62.9296x + -64.9278x = -1.9982x
64.9278 + -1.9982x = 63.546

Solving
64.9278 + -1.9982x = 63.546

Solving for variable 'x'.

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

Add '-64.9278' to each side of the equation.
64.9278 + -64.9278 + -1.9982x = 63.546 + -64.9278

Combine like terms: 64.9278 + -64.9278 = 0.0000
0.0000 + -1.9982x = 63.546 + -64.9278
-1.9982x = 63.546 + -64.9278

Combine like terms: 63.546 + -64.9278 = -1.3818
-1.9982x = -1.3818

Divide each side by '-1.9982'.
x = 0.6915223701

Simplifying
x = 0.6915223701

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