(7.7x+7.2)+(7.8x+8.4)=110.15

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Solution for (7.7x+7.2)+(7.8x+8.4)=110.15 equation: 


Simplifying
(7.7x + 7.2) + (7.8x + 8.4) = 110.15

Reorder the terms:
(7.2 + 7.7x) + (7.8x + 8.4) = 110.15

Remove parenthesis around (7.2 + 7.7x)
7.2 + 7.7x + (7.8x + 8.4) = 110.15

Reorder the terms:
7.2 + 7.7x + (8.4 + 7.8x) = 110.15

Remove parenthesis around (8.4 + 7.8x)
7.2 + 7.7x + 8.4 + 7.8x = 110.15

Reorder the terms:
7.2 + 8.4 + 7.7x + 7.8x = 110.15

Combine like terms: 7.2 + 8.4 = 15.6
15.6 + 7.7x + 7.8x = 110.15

Combine like terms: 7.7x + 7.8x = 15.5x
15.6 + 15.5x = 110.15

Solving
15.6 + 15.5x = 110.15

Solving for variable 'x'.

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

Add '-15.6' to each side of the equation.
15.6 + -15.6 + 15.5x = 110.15 + -15.6

Combine like terms: 15.6 + -15.6 = 0.0
0.0 + 15.5x = 110.15 + -15.6
15.5x = 110.15 + -15.6

Combine like terms: 110.15 + -15.6 = 94.55
15.5x = 94.55

Divide each side by '15.5'.
x = 6.1

Simplifying
x = 6.1

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