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Simplifying 2x2 + kx + 12 = 2x2 Reorder the terms: 12 + kx + 2x2 = 2x2 Add '-2x2' to each side of the equation. 12 + kx + 2x2 + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 12 + kx + 0 = 2x2 + -2x2 12 + kx = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 12 + kx = 0 Solving 12 + kx = 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 + -12 + kx = 0 + -12 Combine like terms: 12 + -12 = 0 0 + kx = 0 + -12 kx = 0 + -12 Combine like terms: 0 + -12 = -12 kx = -12 Divide each side by 'x'. k = -12x-1 Simplifying k = -12x-1
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