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Simplifying 2x2 + x(3 + -1k) + -7 = 0 2x2 + (3 * x + -1k * x) + -7 = 0 Reorder the terms: 2x2 + (-1kx + 3x) + -7 = 0 2x2 + (-1kx + 3x) + -7 = 0 Reorder the terms: -7 + -1kx + 3x + 2x2 = 0 Solving -7 + -1kx + 3x + 2x2 = 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 + -1kx + 3x + 7 + 2x2 = 0 + 7 Reorder the terms: -7 + 7 + -1kx + 3x + 2x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1kx + 3x + 2x2 = 0 + 7 -1kx + 3x + 2x2 = 0 + 7 Combine like terms: 0 + 7 = 7 -1kx + 3x + 2x2 = 7 Add '-3x' to each side of the equation. -1kx + 3x + -3x + 2x2 = 7 + -3x Combine like terms: 3x + -3x = 0 -1kx + 0 + 2x2 = 7 + -3x -1kx + 2x2 = 7 + -3x Add '-2x2' to each side of the equation. -1kx + 2x2 + -2x2 = 7 + -3x + -2x2 Combine like terms: 2x2 + -2x2 = 0 -1kx + 0 = 7 + -3x + -2x2 -1kx = 7 + -3x + -2x2 Divide each side by '-1x'. k = -7x-1 + 3 + 2x Simplifying k = -7x-1 + 3 + 2x Reorder the terms: k = 3 + -7x-1 + 2x
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