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Simplifying x2 + 2kx + -7 = 0 Reorder the terms: -7 + 2kx + x2 = 0 Solving -7 + 2kx + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 2kx + 7 + x2 = 0 + 7 Reorder the terms: -7 + 7 + 2kx + x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2kx + x2 = 0 + 7 2kx + x2 = 0 + 7 Combine like terms: 0 + 7 = 7 2kx + x2 = 7 Add '-1x2' to each side of the equation. 2kx + x2 + -1x2 = 7 + -1x2 Combine like terms: x2 + -1x2 = 0 2kx + 0 = 7 + -1x2 2kx = 7 + -1x2 Divide each side by '2x'. k = 3.5x-1 + -0.5x Simplifying k = 3.5x-1 + -0.5x
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