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Simplifying (x + 7)(c + -6) = 0 Reorder the terms: (7 + x)(c + -6) = 0 Reorder the terms: (7 + x)(-6 + c) = 0 Multiply (7 + x) * (-6 + c) (7(-6 + c) + x(-6 + c)) = 0 ((-6 * 7 + c * 7) + x(-6 + c)) = 0 ((-42 + 7c) + x(-6 + c)) = 0 (-42 + 7c + (-6 * x + c * x)) = 0 Reorder the terms: (-42 + 7c + (cx + -6x)) = 0 (-42 + 7c + (cx + -6x)) = 0 (-42 + 7c + cx + -6x) = 0 Solving -42 + 7c + cx + -6x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 7c + cx + 42 + -6x = 0 + 42 Reorder the terms: -42 + 42 + 7c + cx + -6x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 7c + cx + -6x = 0 + 42 7c + cx + -6x = 0 + 42 Combine like terms: 0 + 42 = 42 7c + cx + -6x = 42 Add '6x' to each side of the equation. 7c + cx + -6x + 6x = 42 + 6x Combine like terms: -6x + 6x = 0 7c + cx + 0 = 42 + 6x 7c + cx = 42 + 6x Reorder the terms: -42 + 7c + cx + -6x = 42 + 6x + -42 + -6x Reorder the terms: -42 + 7c + cx + -6x = 42 + -42 + 6x + -6x Combine like terms: 42 + -42 = 0 -42 + 7c + cx + -6x = 0 + 6x + -6x -42 + 7c + cx + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 -42 + 7c + cx + -6x = 0 The solution to this equation could not be determined.
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