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Simplifying (7k + 12)(5x + -4) = 0 Reorder the terms: (12 + 7k)(5x + -4) = 0 Reorder the terms: (12 + 7k)(-4 + 5x) = 0 Multiply (12 + 7k) * (-4 + 5x) (12(-4 + 5x) + 7k * (-4 + 5x)) = 0 ((-4 * 12 + 5x * 12) + 7k * (-4 + 5x)) = 0 ((-48 + 60x) + 7k * (-4 + 5x)) = 0 (-48 + 60x + (-4 * 7k + 5x * 7k)) = 0 (-48 + 60x + (-28k + 35kx)) = 0 Reorder the terms: (-48 + -28k + 35kx + 60x) = 0 (-48 + -28k + 35kx + 60x) = 0 Solving -48 + -28k + 35kx + 60x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '48' to each side of the equation. -48 + -28k + 35kx + 48 + 60x = 0 + 48 Reorder the terms: -48 + 48 + -28k + 35kx + 60x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -28k + 35kx + 60x = 0 + 48 -28k + 35kx + 60x = 0 + 48 Combine like terms: 0 + 48 = 48 -28k + 35kx + 60x = 48 Add '-60x' to each side of the equation. -28k + 35kx + 60x + -60x = 48 + -60x Combine like terms: 60x + -60x = 0 -28k + 35kx + 0 = 48 + -60x -28k + 35kx = 48 + -60x Reorder the terms: -48 + -28k + 35kx + 60x = 48 + -60x + -48 + 60x Reorder the terms: -48 + -28k + 35kx + 60x = 48 + -48 + -60x + 60x Combine like terms: 48 + -48 = 0 -48 + -28k + 35kx + 60x = 0 + -60x + 60x -48 + -28k + 35kx + 60x = -60x + 60x Combine like terms: -60x + 60x = 0 -48 + -28k + 35kx + 60x = 0 The solution to this equation could not be determined.
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