(.4-x)+x+(.7-x)+.1=1

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Solution for (.4-x)+x+(.7-x)+.1=1 equation: 


Simplifying
(0.4 + -1x) + x + (0.7 + -1x) + 0.1 = 1

Remove parenthesis around (0.4 + -1x)
0.4 + -1x + x + (0.7 + -1x) + 0.1 = 1

Remove parenthesis around (0.7 + -1x)
0.4 + -1x + x + 0.7 + -1x + 0.1 = 1

Reorder the terms:
0.4 + 0.7 + 0.1 + -1x + x + -1x = 1

Combine like terms: 0.4 + 0.7 = 1.1
1.1 + 0.1 + -1x + x + -1x = 1

Combine like terms: 1.1 + 0.1 = 1.2
1.2 + -1x + x + -1x = 1

Combine like terms: -1x + x = 0
1.2 + 0 + -1x = 1
1.2 + -1x = 1

Solving
1.2 + -1x = 1

Solving for variable 'x'.

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

Add '-1.2' to each side of the equation.
1.2 + -1.2 + -1x = 1 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -1x = 1 + -1.2
-1x = 1 + -1.2

Combine like terms: 1 + -1.2 = -0.2
-1x = -0.2

Divide each side by '-1'.
x = 0.2

Simplifying
x = 0.2

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