0.13(x+55)+0.49(x+50)=-33.45

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Solution for 0.13(x+55)+0.49(x+50)=-33.45 equation: 


Simplifying
0.13(x + 55) + 0.49(x + 50) = -33.45

Reorder the terms:
0.13(55 + x) + 0.49(x + 50) = -33.45
(55 * 0.13 + x * 0.13) + 0.49(x + 50) = -33.45
(7.15 + 0.13x) + 0.49(x + 50) = -33.45

Reorder the terms:
7.15 + 0.13x + 0.49(50 + x) = -33.45
7.15 + 0.13x + (50 * 0.49 + x * 0.49) = -33.45
7.15 + 0.13x + (24.5 + 0.49x) = -33.45

Reorder the terms:
7.15 + 24.5 + 0.13x + 0.49x = -33.45

Combine like terms: 7.15 + 24.5 = 31.65
31.65 + 0.13x + 0.49x = -33.45

Combine like terms: 0.13x + 0.49x = 0.62x
31.65 + 0.62x = -33.45

Solving
31.65 + 0.62x = -33.45

Solving for variable 'x'.

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

Add '-31.65' to each side of the equation.
31.65 + -31.65 + 0.62x = -33.45 + -31.65

Combine like terms: 31.65 + -31.65 = 0.00
0.00 + 0.62x = -33.45 + -31.65
0.62x = -33.45 + -31.65

Combine like terms: -33.45 + -31.65 = -65.1
0.62x = -65.1

Divide each side by '0.62'.
x = -105

Simplifying
x = -105

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