x+6(x-11)+(x-11)=17.65

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Solution for x+6(x-11)+(x-11)=17.65 equation:


Simplifying
x + 6(x + -11) + (x + -11) = 17.65

Reorder the terms:
x + 6(-11 + x) + (x + -11) = 17.65
x + (-11 * 6 + x * 6) + (x + -11) = 17.65
x + (-66 + 6x) + (x + -11) = 17.65

Reorder the terms:
x + -66 + 6x + (-11 + x) = 17.65

Remove parenthesis around (-11 + x)
x + -66 + 6x + -11 + x = 17.65

Reorder the terms:
-66 + -11 + x + 6x + x = 17.65

Combine like terms: -66 + -11 = -77
-77 + x + 6x + x = 17.65

Combine like terms: x + 6x = 7x
-77 + 7x + x = 17.65

Combine like terms: 7x + x = 8x
-77 + 8x = 17.65

Solving
-77 + 8x = 17.65

Solving for variable 'x'.

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

Add '77' to each side of the equation.
-77 + 77 + 8x = 17.65 + 77

Combine like terms: -77 + 77 = 0
0 + 8x = 17.65 + 77
8x = 17.65 + 77

Combine like terms: 17.65 + 77 = 94.65
8x = 94.65

Divide each side by '8'.
x = 11.83125

Simplifying
x = 11.83125

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