0.16(x+65)+0.36(x+85)=-37

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Solution for 0.16(x+65)+0.36(x+85)=-37 equation: 


Simplifying
0.16(x + 65) + 0.36(x + 85) = -37

Reorder the terms:
0.16(65 + x) + 0.36(x + 85) = -37
(65 * 0.16 + x * 0.16) + 0.36(x + 85) = -37
(10.4 + 0.16x) + 0.36(x + 85) = -37

Reorder the terms:
10.4 + 0.16x + 0.36(85 + x) = -37
10.4 + 0.16x + (85 * 0.36 + x * 0.36) = -37
10.4 + 0.16x + (30.6 + 0.36x) = -37

Reorder the terms:
10.4 + 30.6 + 0.16x + 0.36x = -37

Combine like terms: 10.4 + 30.6 = 41
41 + 0.16x + 0.36x = -37

Combine like terms: 0.16x + 0.36x = 0.52x
41 + 0.52x = -37

Solving
41 + 0.52x = -37

Solving for variable 'x'.

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

Add '-41' to each side of the equation.
41 + -41 + 0.52x = -37 + -41

Combine like terms: 41 + -41 = 0
0 + 0.52x = -37 + -41
0.52x = -37 + -41

Combine like terms: -37 + -41 = -78
0.52x = -78

Divide each side by '0.52'.
x = -150

Simplifying
x = -150

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