0.29(x+50)+0.31(x+75)=-37.25

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Solution for 0.29(x+50)+0.31(x+75)=-37.25 equation: 


Simplifying
0.29(x + 50) + 0.31(x + 75) = -37.25

Reorder the terms:
0.29(50 + x) + 0.31(x + 75) = -37.25
(50 * 0.29 + x * 0.29) + 0.31(x + 75) = -37.25
(14.5 + 0.29x) + 0.31(x + 75) = -37.25

Reorder the terms:
14.5 + 0.29x + 0.31(75 + x) = -37.25
14.5 + 0.29x + (75 * 0.31 + x * 0.31) = -37.25
14.5 + 0.29x + (23.25 + 0.31x) = -37.25

Reorder the terms:
14.5 + 23.25 + 0.29x + 0.31x = -37.25

Combine like terms: 14.5 + 23.25 = 37.75
37.75 + 0.29x + 0.31x = -37.25

Combine like terms: 0.29x + 0.31x = 0.6x
37.75 + 0.6x = -37.25

Solving
37.75 + 0.6x = -37.25

Solving for variable 'x'.

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

Add '-37.75' to each side of the equation.
37.75 + -37.75 + 0.6x = -37.25 + -37.75

Combine like terms: 37.75 + -37.75 = 0.00
0.00 + 0.6x = -37.25 + -37.75
0.6x = -37.25 + -37.75

Combine like terms: -37.25 + -37.75 = -75
0.6x = -75

Divide each side by '0.6'.
x = -125

Simplifying
x = -125

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