(a+b)x=-7a-7b

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Solution for (a+b)x=-7a-7b equation:


Simplifying
(a + b) * x = -7a + -7b

Reorder the terms for easier multiplication:
x(a + b) = -7a + -7b
(a * x + b * x) = -7a + -7b
(ax + bx) = -7a + -7b

Solving
ax + bx = -7a + -7b

Solving for variable 'a'.

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

Add '7a' to each side of the equation.
ax + 7a + bx = -7a + 7a + -7b

Reorder the terms:
7a + ax + bx = -7a + 7a + -7b

Combine like terms: -7a + 7a = 0
7a + ax + bx = 0 + -7b
7a + ax + bx = -7b

Add '-1bx' to each side of the equation.
7a + ax + bx + -1bx = -7b + -1bx

Combine like terms: bx + -1bx = 0
7a + ax + 0 = -7b + -1bx
7a + ax = -7b + -1bx

Reorder the terms:
7a + ax + 7b + bx = -7b + 7b + -1bx + bx

Combine like terms: -7b + 7b = 0
7a + ax + 7b + bx = 0 + -1bx + bx
7a + ax + 7b + bx = -1bx + bx

Combine like terms: -1bx + bx = 0
7a + ax + 7b + bx = 0

The solution to this equation could not be determined.

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