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Simplifying kx + -12 = x2 + 5x + -3 Reorder the terms: -12 + kx = x2 + 5x + -3 Reorder the terms: -12 + kx = -3 + 5x + x2 Solving -12 + kx = -3 + 5x + x2 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 + 12 + kx = -3 + 5x + 12 + x2 Combine like terms: -12 + 12 = 0 0 + kx = -3 + 5x + 12 + x2 kx = -3 + 5x + 12 + x2 Reorder the terms: kx = -3 + 12 + 5x + x2 Combine like terms: -3 + 12 = 9 kx = 9 + 5x + x2 Divide each side by 'x'. k = 9x-1 + 5 + x Simplifying k = 9x-1 + 5 + x Reorder the terms: k = 5 + 9x-1 + x
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