0.1(0.1x+0.9)=-0.4

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Solution for 0.1(0.1x+0.9)=-0.4 equation: 


Simplifying
0.1(0.1x + 0.9) = -0.4

Reorder the terms:
0.1(0.9 + 0.1x) = -0.4
(0.9 * 0.1 + 0.1x * 0.1) = -0.4
(0.09 + 0.01x) = -0.4

Solving
0.09 + 0.01x = -0.4

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 = -0.4 + -0.09

Combine like terms: 0.09 + -0.09 = 0.00
0.00 + 0.01x = -0.4 + -0.09
0.01x = -0.4 + -0.09

Combine like terms: -0.4 + -0.09 = -0.49
0.01x = -0.49

Divide each side by '0.01'.
x = -49

Simplifying
x = -49

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