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