(x+7)2+11(x+7)+30=0

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Solution for (x+7)2+11(x+7)+30=0 equation:


Simplifying
(x + 7) * 2 + 11(x + 7) + 30 = 0

Reorder the terms:
(7 + x) * 2 + 11(x + 7) + 30 = 0

Reorder the terms for easier multiplication:
2(7 + x) + 11(x + 7) + 30 = 0
(7 * 2 + x * 2) + 11(x + 7) + 30 = 0
(14 + 2x) + 11(x + 7) + 30 = 0

Reorder the terms:
14 + 2x + 11(7 + x) + 30 = 0
14 + 2x + (7 * 11 + x * 11) + 30 = 0
14 + 2x + (77 + 11x) + 30 = 0

Reorder the terms:
14 + 77 + 30 + 2x + 11x = 0

Combine like terms: 14 + 77 = 91
91 + 30 + 2x + 11x = 0

Combine like terms: 91 + 30 = 121
121 + 2x + 11x = 0

Combine like terms: 2x + 11x = 13x
121 + 13x = 0

Solving
121 + 13x = 0

Solving for variable 'x'.

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

Add '-121' to each side of the equation.
121 + -121 + 13x = 0 + -121

Combine like terms: 121 + -121 = 0
0 + 13x = 0 + -121
13x = 0 + -121

Combine like terms: 0 + -121 = -121
13x = -121

Divide each side by '13'.
x = -9.307692308

Simplifying
x = -9.307692308

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