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Simplifying (a + c) * x + (a + -1c) * x = 0 Reorder the terms for easier multiplication: x(a + c) + (a + -1c) * x = 0 (a * x + c * x) + (a + -1c) * x = 0 (ax + cx) + (a + -1c) * x = 0 Reorder the terms for easier multiplication: ax + cx + x(a + -1c) = 0 ax + cx + (a * x + -1c * x) = 0 ax + cx + (ax + -1cx) = 0 Reorder the terms: ax + ax + cx + -1cx = 0 Combine like terms: ax + ax = 2ax 2ax + cx + -1cx = 0 Combine like terms: cx + -1cx = 0 2ax + 0 = 0 2ax = 0 Solving 2ax = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '2'. ax = 0 Simplifying ax = 0 The solution to this equation could not be determined.
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