.1(.1x+.9)=-.7

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Solution for .1(.1x+.9)=-.7 equation: 


Simplifying
0.1(0.1x + 0.9) = -0.7

Reorder the terms:
0.1(0.9 + 0.1x) = -0.7
(0.9 * 0.1 + 0.1x * 0.1) = -0.7
(0.09 + 0.01x) = -0.7

Solving
0.09 + 0.01x = -0.7

Solving for variable 'x'.

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

Add '-0.09' to each side of the equation.
0.09 + -0.09 + 0.01x = -0.7 + -0.09

Combine like terms: 0.09 + -0.09 = 0.00
0.00 + 0.01x = -0.7 + -0.09
0.01x = -0.7 + -0.09

Combine like terms: -0.7 + -0.09 = -0.79
0.01x = -0.79

Divide each side by '0.01'.
x = -79

Simplifying
x = -79

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