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Simplifying (x + -3)(c + -4) = 30 Reorder the terms: (-3 + x)(c + -4) = 30 Reorder the terms: (-3 + x)(-4 + c) = 30 Multiply (-3 + x) * (-4 + c) (-3(-4 + c) + x(-4 + c)) = 30 ((-4 * -3 + c * -3) + x(-4 + c)) = 30 ((12 + -3c) + x(-4 + c)) = 30 (12 + -3c + (-4 * x + c * x)) = 30 Reorder the terms: (12 + -3c + (cx + -4x)) = 30 (12 + -3c + (cx + -4x)) = 30 (12 + -3c + cx + -4x) = 30 Solving 12 + -3c + cx + -4x = 30 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -3c + cx + -12 + -4x = 30 + -12 Reorder the terms: 12 + -12 + -3c + cx + -4x = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -3c + cx + -4x = 30 + -12 -3c + cx + -4x = 30 + -12 Combine like terms: 30 + -12 = 18 -3c + cx + -4x = 18 Add '4x' to each side of the equation. -3c + cx + -4x + 4x = 18 + 4x Combine like terms: -4x + 4x = 0 -3c + cx + 0 = 18 + 4x -3c + cx = 18 + 4x Reorder the terms: -18 + -3c + cx + -4x = 18 + 4x + -18 + -4x Reorder the terms: -18 + -3c + cx + -4x = 18 + -18 + 4x + -4x Combine like terms: 18 + -18 = 0 -18 + -3c + cx + -4x = 0 + 4x + -4x -18 + -3c + cx + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 -18 + -3c + cx + -4x = 0 The solution to this equation could not be determined.
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