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