0.5*1.18(1-x)+0.5(1-x)=1

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Solution for 0.5*1.18(1-x)+0.5(1-x)=1 equation: 


Simplifying
0.5 * 1.18(1 + -1x) + 0.5(1 + -1x) = 1

Multiply 0.5 * 1.18
0.59(1 + -1x) + 0.5(1 + -1x) = 1
(1 * 0.59 + -1x * 0.59) + 0.5(1 + -1x) = 1
(0.59 + -0.59x) + 0.5(1 + -1x) = 1
0.59 + -0.59x + (1 * 0.5 + -1x * 0.5) = 1
0.59 + -0.59x + (0.5 + -0.5x) = 1

Reorder the terms:
0.59 + 0.5 + -0.59x + -0.5x = 1

Combine like terms: 0.59 + 0.5 = 1.09
1.09 + -0.59x + -0.5x = 1

Combine like terms: -0.59x + -0.5x = -1.09x
1.09 + -1.09x = 1

Solving
1.09 + -1.09x = 1

Solving for variable 'x'.

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

Add '-1.09' to each side of the equation.
1.09 + -1.09 + -1.09x = 1 + -1.09

Combine like terms: 1.09 + -1.09 = 0.00
0.00 + -1.09x = 1 + -1.09
-1.09x = 1 + -1.09

Combine like terms: 1 + -1.09 = -0.09
-1.09x = -0.09

Divide each side by '-1.09'.
x = 0.08256880734

Simplifying
x = 0.08256880734

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