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Simplifying 1 + kx = 3x2 + 5x + 13 Reorder the terms: 1 + kx = 13 + 5x + 3x2 Solving 1 + kx = 13 + 5x + 3x2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + kx = 13 + 5x + -1 + 3x2 Combine like terms: 1 + -1 = 0 0 + kx = 13 + 5x + -1 + 3x2 kx = 13 + 5x + -1 + 3x2 Reorder the terms: kx = 13 + -1 + 5x + 3x2 Combine like terms: 13 + -1 = 12 kx = 12 + 5x + 3x2 Divide each side by 'x'. k = 12x-1 + 5 + 3x Simplifying k = 12x-1 + 5 + 3x Reorder the terms: k = 5 + 12x-1 + 3x
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