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Simplifying (k + -12) * x + (k + -1) * x + 12 = 0 Reorder the terms: (-12 + k) * x + (k + -1) * x + 12 = 0 Reorder the terms for easier multiplication: x(-12 + k) + (k + -1) * x + 12 = 0 (-12 * x + k * x) + (k + -1) * x + 12 = 0 Reorder the terms: (kx + -12x) + (k + -1) * x + 12 = 0 (kx + -12x) + (k + -1) * x + 12 = 0 Reorder the terms: kx + -12x + (-1 + k) * x + 12 = 0 Reorder the terms for easier multiplication: kx + -12x + x(-1 + k) + 12 = 0 kx + -12x + (-1 * x + k * x) + 12 = 0 Reorder the terms: kx + -12x + (kx + -1x) + 12 = 0 kx + -12x + (kx + -1x) + 12 = 0 Reorder the terms: 12 + kx + kx + -12x + -1x = 0 Combine like terms: kx + kx = 2kx 12 + 2kx + -12x + -1x = 0 Combine like terms: -12x + -1x = -13x 12 + 2kx + -13x = 0 Solving 12 + 2kx + -13x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 2kx + -12 + -13x = 0 + -12 Reorder the terms: 12 + -12 + 2kx + -13x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2kx + -13x = 0 + -12 2kx + -13x = 0 + -12 Combine like terms: 0 + -12 = -12 2kx + -13x = -12 Add '13x' to each side of the equation. 2kx + -13x + 13x = -12 + 13x Combine like terms: -13x + 13x = 0 2kx + 0 = -12 + 13x 2kx = -12 + 13x Divide each side by '2x'. k = -6x-1 + 6.5 Simplifying k = -6x-1 + 6.5 Reorder the terms: k = 6.5 + -6x-1
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