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Simplifying 3x + 6k + -20 = kx + -1k + 1 Reorder the terms: -20 + 6k + 3x = kx + -1k + 1 Reorder the terms: -20 + 6k + 3x = 1 + -1k + kx Solving -20 + 6k + 3x = 1 + -1k + kx Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -20 + 6k + k + 3x = 1 + -1k + k + kx Combine like terms: 6k + k = 7k -20 + 7k + 3x = 1 + -1k + k + kx Combine like terms: -1k + k = 0 -20 + 7k + 3x = 1 + 0 + kx -20 + 7k + 3x = 1 + kx Add '-1kx' to each side of the equation. -20 + 7k + -1kx + 3x = 1 + kx + -1kx Combine like terms: kx + -1kx = 0 -20 + 7k + -1kx + 3x = 1 + 0 -20 + 7k + -1kx + 3x = 1 Add '20' to each side of the equation. -20 + 7k + -1kx + 20 + 3x = 1 + 20 Reorder the terms: -20 + 20 + 7k + -1kx + 3x = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 7k + -1kx + 3x = 1 + 20 7k + -1kx + 3x = 1 + 20 Combine like terms: 1 + 20 = 21 7k + -1kx + 3x = 21 Add '-3x' to each side of the equation. 7k + -1kx + 3x + -3x = 21 + -3x Combine like terms: 3x + -3x = 0 7k + -1kx + 0 = 21 + -3x 7k + -1kx = 21 + -3x Reorder the terms: -21 + 7k + -1kx + 3x = 21 + -3x + -21 + 3x Reorder the terms: -21 + 7k + -1kx + 3x = 21 + -21 + -3x + 3x Combine like terms: 21 + -21 = 0 -21 + 7k + -1kx + 3x = 0 + -3x + 3x -21 + 7k + -1kx + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -21 + 7k + -1kx + 3x = 0 The solution to this equation could not be determined.
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