0.26(x+25)+0.37(x+55)=-23.55

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Solution for 0.26(x+25)+0.37(x+55)=-23.55 equation: 


Simplifying
0.26(x + 25) + 0.37(x + 55) = -23.55

Reorder the terms:
0.26(25 + x) + 0.37(x + 55) = -23.55
(25 * 0.26 + x * 0.26) + 0.37(x + 55) = -23.55
(6.5 + 0.26x) + 0.37(x + 55) = -23.55

Reorder the terms:
6.5 + 0.26x + 0.37(55 + x) = -23.55
6.5 + 0.26x + (55 * 0.37 + x * 0.37) = -23.55
6.5 + 0.26x + (20.35 + 0.37x) = -23.55

Reorder the terms:
6.5 + 20.35 + 0.26x + 0.37x = -23.55

Combine like terms: 6.5 + 20.35 = 26.85
26.85 + 0.26x + 0.37x = -23.55

Combine like terms: 0.26x + 0.37x = 0.63x
26.85 + 0.63x = -23.55

Solving
26.85 + 0.63x = -23.55

Solving for variable 'x'.

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

Add '-26.85' to each side of the equation.
26.85 + -26.85 + 0.63x = -23.55 + -26.85

Combine like terms: 26.85 + -26.85 = 0.00
0.00 + 0.63x = -23.55 + -26.85
0.63x = -23.55 + -26.85

Combine like terms: -23.55 + -26.85 = -50.4
0.63x = -50.4

Divide each side by '0.63'.
x = -80

Simplifying
x = -80

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