x+(6x-11)+(30x-55)=2118

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Solution for x+(6x-11)+(30x-55)=2118 equation:


Simplifying
x + (6x + -11) + (30x + -55) = 2118

Reorder the terms:
x + (-11 + 6x) + (30x + -55) = 2118

Remove parenthesis around (-11 + 6x)
x + -11 + 6x + (30x + -55) = 2118

Reorder the terms:
x + -11 + 6x + (-55 + 30x) = 2118

Remove parenthesis around (-55 + 30x)
x + -11 + 6x + -55 + 30x = 2118

Reorder the terms:
-11 + -55 + x + 6x + 30x = 2118

Combine like terms: -11 + -55 = -66
-66 + x + 6x + 30x = 2118

Combine like terms: x + 6x = 7x
-66 + 7x + 30x = 2118

Combine like terms: 7x + 30x = 37x
-66 + 37x = 2118

Solving
-66 + 37x = 2118

Solving for variable 'x'.

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

Add '66' to each side of the equation.
-66 + 66 + 37x = 2118 + 66

Combine like terms: -66 + 66 = 0
0 + 37x = 2118 + 66
37x = 2118 + 66

Combine like terms: 2118 + 66 = 2184
37x = 2184

Divide each side by '37'.
x = 59.02702703

Simplifying
x = 59.02702703

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