0.13(x+40)+0.4(x+25)=-19.25

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Solution for 0.13(x+40)+0.4(x+25)=-19.25 equation: 


Simplifying
0.13(x + 40) + 0.4(x + 25) = -19.25

Reorder the terms:
0.13(40 + x) + 0.4(x + 25) = -19.25
(40 * 0.13 + x * 0.13) + 0.4(x + 25) = -19.25
(5.2 + 0.13x) + 0.4(x + 25) = -19.25

Reorder the terms:
5.2 + 0.13x + 0.4(25 + x) = -19.25
5.2 + 0.13x + (25 * 0.4 + x * 0.4) = -19.25
5.2 + 0.13x + (10 + 0.4x) = -19.25

Reorder the terms:
5.2 + 10 + 0.13x + 0.4x = -19.25

Combine like terms: 5.2 + 10 = 15.2
15.2 + 0.13x + 0.4x = -19.25

Combine like terms: 0.13x + 0.4x = 0.53x
15.2 + 0.53x = -19.25

Solving
15.2 + 0.53x = -19.25

Solving for variable 'x'.

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

Add '-15.2' to each side of the equation.
15.2 + -15.2 + 0.53x = -19.25 + -15.2

Combine like terms: 15.2 + -15.2 = 0.0
0.0 + 0.53x = -19.25 + -15.2
0.53x = -19.25 + -15.2

Combine like terms: -19.25 + -15.2 = -34.45
0.53x = -34.45

Divide each side by '0.53'.
x = -65

Simplifying
x = -65

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