0.41(x+80)+0.4(x+45)=-50.45

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Solution for 0.41(x+80)+0.4(x+45)=-50.45 equation: 


Simplifying
0.41(x + 80) + 0.4(x + 45) = -50.45

Reorder the terms:
0.41(80 + x) + 0.4(x + 45) = -50.45
(80 * 0.41 + x * 0.41) + 0.4(x + 45) = -50.45
(32.8 + 0.41x) + 0.4(x + 45) = -50.45

Reorder the terms:
32.8 + 0.41x + 0.4(45 + x) = -50.45
32.8 + 0.41x + (45 * 0.4 + x * 0.4) = -50.45
32.8 + 0.41x + (18 + 0.4x) = -50.45

Reorder the terms:
32.8 + 18 + 0.41x + 0.4x = -50.45

Combine like terms: 32.8 + 18 = 50.8
50.8 + 0.41x + 0.4x = -50.45

Combine like terms: 0.41x + 0.4x = 0.81x
50.8 + 0.81x = -50.45

Solving
50.8 + 0.81x = -50.45

Solving for variable 'x'.

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

Add '-50.8' to each side of the equation.
50.8 + -50.8 + 0.81x = -50.45 + -50.8

Combine like terms: 50.8 + -50.8 = 0.0
0.0 + 0.81x = -50.45 + -50.8
0.81x = -50.45 + -50.8

Combine like terms: -50.45 + -50.8 = -101.25
0.81x = -101.25

Divide each side by '0.81'.
x = -125

Simplifying
x = -125

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