Z=(x*(1+a))+((x+b)*(1+c))

Solution for Z=(x*(1+a))+((x+b)*(1+c)) equation:

Simplifying
Z = (x(1 + a)) + ((x + b)(1 + c))
Z = ((1 * x + a * x)) + ((x + b)(1 + c))

Reorder the terms:
Z = ((ax + 1x)) + ((x + b)(1 + c))
Z = ((ax + 1x)) + ((x + b)(1 + c))
Z = (ax + 1x) + ((x + b)(1 + c))

Remove parenthesis around (ax + 1x)
Z = ax + 1x + ((x + b)(1 + c))

Reorder the terms:
Z = ax + 1x + ((b + x)(1 + c))

Multiply (b + x) * (1 + c)
Z = ax + 1x + ((b(1 + c) + x(1 + c)))
Z = ax + 1x + (((1 * b + c * b) + x(1 + c)))
Z = ax + 1x + (((1b + bc) + x(1 + c)))
Z = ax + 1x + ((1b + bc + (1 * x + c * x)))

Reorder the terms:
Z = ax + 1x + ((1b + bc + (cx + 1x)))
Z = ax + 1x + ((1b + bc + (cx + 1x)))
Z = ax + 1x + ((1b + bc + cx + 1x))
Z = ax + 1x + (1b + bc + cx + 1x)

Remove parenthesis around (1b + bc + cx + 1x)
Z = ax + 1x + 1b + bc + cx + 1x

Reorder the terms:
Z = ax + 1b + bc + cx + 1x + 1x

Combine like terms: 1x + 1x = 2x
Z = ax + 1b + bc + cx + 2x

Solving
Z = ax + 1b + bc + cx + 2x

Solving for variable 'Z'.

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

Simplifying
Z = ax + 1b + bc + cx + 2x