7(3x+6)+(x+2)=11

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Solution for 7(3x+6)+(x+2)=11 equation:


Simplifying
7(3x + 6) + (x + 2) = 11

Reorder the terms:
7(6 + 3x) + (x + 2) = 11
(6 * 7 + 3x * 7) + (x + 2) = 11
(42 + 21x) + (x + 2) = 11

Reorder the terms:
42 + 21x + (2 + x) = 11

Remove parenthesis around (2 + x)
42 + 21x + 2 + x = 11

Reorder the terms:
42 + 2 + 21x + x = 11

Combine like terms: 42 + 2 = 44
44 + 21x + x = 11

Combine like terms: 21x + x = 22x
44 + 22x = 11

Solving
44 + 22x = 11

Solving for variable 'x'.

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

Add '-44' to each side of the equation.
44 + -44 + 22x = 11 + -44

Combine like terms: 44 + -44 = 0
0 + 22x = 11 + -44
22x = 11 + -44

Combine like terms: 11 + -44 = -33
22x = -33

Divide each side by '22'.
x = -1.5

Simplifying
x = -1.5

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