.16(x+30)+.21(x+55)=-15.1

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Solution for .16(x+30)+.21(x+55)=-15.1 equation: 


Simplifying
0.16(x + 30) + 0.21(x + 55) = -15.1

Reorder the terms:
0.16(30 + x) + 0.21(x + 55) = -15.1
(30 * 0.16 + x * 0.16) + 0.21(x + 55) = -15.1
(4.8 + 0.16x) + 0.21(x + 55) = -15.1

Reorder the terms:
4.8 + 0.16x + 0.21(55 + x) = -15.1
4.8 + 0.16x + (55 * 0.21 + x * 0.21) = -15.1
4.8 + 0.16x + (11.55 + 0.21x) = -15.1

Reorder the terms:
4.8 + 11.55 + 0.16x + 0.21x = -15.1

Combine like terms: 4.8 + 11.55 = 16.35
16.35 + 0.16x + 0.21x = -15.1

Combine like terms: 0.16x + 0.21x = 0.37x
16.35 + 0.37x = -15.1

Solving
16.35 + 0.37x = -15.1

Solving for variable 'x'.

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

Add '-16.35' to each side of the equation.
16.35 + -16.35 + 0.37x = -15.1 + -16.35

Combine like terms: 16.35 + -16.35 = 0.00
0.00 + 0.37x = -15.1 + -16.35
0.37x = -15.1 + -16.35

Combine like terms: -15.1 + -16.35 = -31.45
0.37x = -31.45

Divide each side by '0.37'.
x = -85

Simplifying
x = -85

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