Given that a, b, and c are non-zero real numbers and a + b ≠ 0, solve for x, ax + bx - c = 0.

Solution:

Given, ax + bx – c = 0

By adding c on both sides(using addition property of equality)

ax + bx - c + c = 0 + c

ax + bx = c

Taking the common factor out we get,

(a + b)x = c

We use the division property of equality to solve for x.

Divide both sides by (a + b):

x = c/(a + b)

As we know that a,b and c are non-zero real numbers.

Also a + b ≠ 0. 

Thus, x = c/(a + b)

Given that a, b, and c are non-zero real numbers and a + b ≠ 0, solve for x, ax + bx - c = 0.

Summary:

The value of x is c/(a + b).