(3+x)+3x+(14+3x)+(5-x)+x+(6-x)+(6+x)=54

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Solution for (3+x)+3x+(14+3x)+(5-x)+x+(6-x)+(6+x)=54 equation: 


Simplifying
(3 + x) + 3x + (14 + 3x) + (5 + -1x) + x + (6 + -1x) + (6 + x) = 54

Remove parenthesis around (3 + x)
3 + x + 3x + (14 + 3x) + (5 + -1x) + x + (6 + -1x) + (6 + x) = 54

Remove parenthesis around (14 + 3x)
3 + x + 3x + 14 + 3x + (5 + -1x) + x + (6 + -1x) + (6 + x) = 54

Remove parenthesis around (5 + -1x)
3 + x + 3x + 14 + 3x + 5 + -1x + x + (6 + -1x) + (6 + x) = 54

Remove parenthesis around (6 + -1x)
3 + x + 3x + 14 + 3x + 5 + -1x + x + 6 + -1x + (6 + x) = 54

Remove parenthesis around (6 + x)
3 + x + 3x + 14 + 3x + 5 + -1x + x + 6 + -1x + 6 + x = 54

Reorder the terms:
3 + 14 + 5 + 6 + 6 + x + 3x + 3x + -1x + x + -1x + x = 54

Combine like terms: 3 + 14 = 17
17 + 5 + 6 + 6 + x + 3x + 3x + -1x + x + -1x + x = 54

Combine like terms: 17 + 5 = 22
22 + 6 + 6 + x + 3x + 3x + -1x + x + -1x + x = 54

Combine like terms: 22 + 6 = 28
28 + 6 + x + 3x + 3x + -1x + x + -1x + x = 54

Combine like terms: 28 + 6 = 34
34 + x + 3x + 3x + -1x + x + -1x + x = 54

Combine like terms: x + 3x = 4x
34 + 4x + 3x + -1x + x + -1x + x = 54

Combine like terms: 4x + 3x = 7x
34 + 7x + -1x + x + -1x + x = 54

Combine like terms: 7x + -1x = 6x
34 + 6x + x + -1x + x = 54

Combine like terms: 6x + x = 7x
34 + 7x + -1x + x = 54

Combine like terms: 7x + -1x = 6x
34 + 6x + x = 54

Combine like terms: 6x + x = 7x
34 + 7x = 54

Solving
34 + 7x = 54

Solving for variable 'x'.

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

Add '-34' to each side of the equation.
34 + -34 + 7x = 54 + -34

Combine like terms: 34 + -34 = 0
0 + 7x = 54 + -34
7x = 54 + -34

Combine like terms: 54 + -34 = 20
7x = 20

Divide each side by '7'.
x = 2.857142857

Simplifying
x = 2.857142857

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