0.31(x+20)+0.27(x+15)=-10.05

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Solution for 0.31(x+20)+0.27(x+15)=-10.05 equation: 


Simplifying
0.31(x + 20) + 0.27(x + 15) = -10.05

Reorder the terms:
0.31(20 + x) + 0.27(x + 15) = -10.05
(20 * 0.31 + x * 0.31) + 0.27(x + 15) = -10.05
(6.2 + 0.31x) + 0.27(x + 15) = -10.05

Reorder the terms:
6.2 + 0.31x + 0.27(15 + x) = -10.05
6.2 + 0.31x + (15 * 0.27 + x * 0.27) = -10.05
6.2 + 0.31x + (4.05 + 0.27x) = -10.05

Reorder the terms:
6.2 + 4.05 + 0.31x + 0.27x = -10.05

Combine like terms: 6.2 + 4.05 = 10.25
10.25 + 0.31x + 0.27x = -10.05

Combine like terms: 0.31x + 0.27x = 0.58x
10.25 + 0.58x = -10.05

Solving
10.25 + 0.58x = -10.05

Solving for variable 'x'.

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

Add '-10.25' to each side of the equation.
10.25 + -10.25 + 0.58x = -10.05 + -10.25

Combine like terms: 10.25 + -10.25 = 0.00
0.00 + 0.58x = -10.05 + -10.25
0.58x = -10.05 + -10.25

Combine like terms: -10.05 + -10.25 = -20.3
0.58x = -20.3

Divide each side by '0.58'.
x = -35

Simplifying
x = -35

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