.24(x+55)+.47(x+70)=-42.65

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Solution for .24(x+55)+.47(x+70)=-42.65 equation: 


Simplifying
0.24(x + 55) + 0.47(x + 70) = -42.65

Reorder the terms:
0.24(55 + x) + 0.47(x + 70) = -42.65
(55 * 0.24 + x * 0.24) + 0.47(x + 70) = -42.65
(13.2 + 0.24x) + 0.47(x + 70) = -42.65

Reorder the terms:
13.2 + 0.24x + 0.47(70 + x) = -42.65
13.2 + 0.24x + (70 * 0.47 + x * 0.47) = -42.65
13.2 + 0.24x + (32.9 + 0.47x) = -42.65

Reorder the terms:
13.2 + 32.9 + 0.24x + 0.47x = -42.65

Combine like terms: 13.2 + 32.9 = 46.1
46.1 + 0.24x + 0.47x = -42.65

Combine like terms: 0.24x + 0.47x = 0.71x
46.1 + 0.71x = -42.65

Solving
46.1 + 0.71x = -42.65

Solving for variable 'x'.

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

Add '-46.1' to each side of the equation.
46.1 + -46.1 + 0.71x = -42.65 + -46.1

Combine like terms: 46.1 + -46.1 = 0.0
0.0 + 0.71x = -42.65 + -46.1
0.71x = -42.65 + -46.1

Combine like terms: -42.65 + -46.1 = -88.75
0.71x = -88.75

Divide each side by '0.71'.
x = -125

Simplifying
x = -125

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