1=0.3+(1-0.3-x)*0.6+x

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Solution for 1=0.3+(1-0.3-x)*0.6+x equation:


Simplifying
1 = 0.3 + (1 + -0.3 + -1x) * 0.6 + x

Combine like terms: 1 + -0.3 = 0.7
1 = 0.3 + (0.7 + -1x) * 0.6 + x

Reorder the terms for easier multiplication:
1 = 0.3 + 0.6(0.7 + -1x) + x
1 = 0.3 + (0.7 * 0.6 + -1x * 0.6) + x
1 = 0.3 + (0.42 + -0.6x) + x

Combine like terms: 0.3 + 0.42 = 0.72
1 = 0.72 + -0.6x + x

Combine like terms: -0.6x + x = 0.4x
1 = 0.72 + 0.4x

Solving
1 = 0.72 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
1 + -0.4x = 0.72 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
1 + -0.4x = 0.72 + 0.0
1 + -0.4x = 0.72

Add '-1' to each side of the equation.
1 + -1 + -0.4x = 0.72 + -1

Combine like terms: 1 + -1 = 0
0 + -0.4x = 0.72 + -1
-0.4x = 0.72 + -1

Combine like terms: 0.72 + -1 = -0.28
-0.4x = -0.28

Divide each side by '-0.4'.
x = 0.7

Simplifying
x = 0.7

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