f(x-1)=f(x-7)

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Solution for f(x-1)=f(x-7) equation:


Simplifying
f(x + -1) = f(x + -7)

Reorder the terms:
f(-1 + x) = f(x + -7)
(-1 * f + x * f) = f(x + -7)
(-1f + fx) = f(x + -7)

Reorder the terms:
-1f + fx = f(-7 + x)
-1f + fx = (-7 * f + x * f)
-1f + fx = (-7f + fx)

Add '-1fx' to each side of the equation.
-1f + fx + -1fx = -7f + fx + -1fx

Combine like terms: fx + -1fx = 0
-1f + 0 = -7f + fx + -1fx
-1f = -7f + fx + -1fx

Combine like terms: fx + -1fx = 0
-1f = -7f + 0
-1f = -7f

Solving
-1f = -7f

Solving for variable 'f'.

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

Add '7f' to each side of the equation.
-1f + 7f = -7f + 7f

Combine like terms: -1f + 7f = 6f
6f = -7f + 7f

Combine like terms: -7f + 7f = 0
6f = 0

Divide each side by '6'.
f = 0

Simplifying
f = 0

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