f(a+b)=5x+7

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Solution for f(a+b)=5x+7 equation: 


Simplifying
f(a + b) = 5x + 7
(a * f + b * f) = 5x + 7
(af + bf) = 5x + 7

Reorder the terms:
af + bf = 7 + 5x

Solving
af + bf = 7 + 5x

Solving for variable 'a'.

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

Add '-1bf' to each side of the equation.
af + bf + -1bf = 7 + -1bf + 5x

Combine like terms: bf + -1bf = 0
af + 0 = 7 + -1bf + 5x
af = 7 + -1bf + 5x

Divide each side by 'f'.
a = 7f-1 + -1b + 5f-1x

Simplifying
a = 7f-1 + -1b + 5f-1x

Reorder the terms:
a = -1b + 7f-1 + 5f-1x

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