7(x+6)+2(x+6)=7x-7

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


Simplifying
7(x + 6) + 2(x + 6) = 7x + -7

Reorder the terms:
7(6 + x) + 2(x + 6) = 7x + -7
(6 * 7 + x * 7) + 2(x + 6) = 7x + -7
(42 + 7x) + 2(x + 6) = 7x + -7

Reorder the terms:
42 + 7x + 2(6 + x) = 7x + -7
42 + 7x + (6 * 2 + x * 2) = 7x + -7
42 + 7x + (12 + 2x) = 7x + -7

Reorder the terms:
42 + 12 + 7x + 2x = 7x + -7

Combine like terms: 42 + 12 = 54
54 + 7x + 2x = 7x + -7

Combine like terms: 7x + 2x = 9x
54 + 9x = 7x + -7

Reorder the terms:
54 + 9x = -7 + 7x

Solving
54 + 9x = -7 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
54 + 9x + -7x = -7 + 7x + -7x

Combine like terms: 9x + -7x = 2x
54 + 2x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
54 + 2x = -7 + 0
54 + 2x = -7

Add '-54' to each side of the equation.
54 + -54 + 2x = -7 + -54

Combine like terms: 54 + -54 = 0
0 + 2x = -7 + -54
2x = -7 + -54

Combine like terms: -7 + -54 = -61
2x = -61

Divide each side by '2'.
x = -30.5

Simplifying
x = -30.5

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