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Simplifying kx + 8 = 1 + -6(x + -2) Reorder the terms: 8 + kx = 1 + -6(x + -2) Reorder the terms: 8 + kx = 1 + -6(-2 + x) 8 + kx = 1 + (-2 * -6 + x * -6) 8 + kx = 1 + (12 + -6x) Combine like terms: 1 + 12 = 13 8 + kx = 13 + -6x Solving 8 + kx = 13 + -6x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + kx = 13 + -8 + -6x Combine like terms: 8 + -8 = 0 0 + kx = 13 + -8 + -6x kx = 13 + -8 + -6x Combine like terms: 13 + -8 = 5 kx = 5 + -6x Divide each side by 'x'. k = 5x-1 + -6 Simplifying k = 5x-1 + -6 Reorder the terms: k = -6 + 5x-1
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