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Simplifying (3 + -7k) * x + -2 = 0 Reorder the terms for easier multiplication: x(3 + -7k) + -2 = 0 (3 * x + -7k * x) + -2 = 0 Reorder the terms: (-7kx + 3x) + -2 = 0 (-7kx + 3x) + -2 = 0 Reorder the terms: -2 + -7kx + 3x = 0 Solving -2 + -7kx + 3x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -7kx + 2 + 3x = 0 + 2 Reorder the terms: -2 + 2 + -7kx + 3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7kx + 3x = 0 + 2 -7kx + 3x = 0 + 2 Combine like terms: 0 + 2 = 2 -7kx + 3x = 2 Add '-3x' to each side of the equation. -7kx + 3x + -3x = 2 + -3x Combine like terms: 3x + -3x = 0 -7kx + 0 = 2 + -3x -7kx = 2 + -3x Divide each side by '-7x'. k = -0.2857142857x-1 + 0.4285714286 Simplifying k = -0.2857142857x-1 + 0.4285714286 Reorder the terms: k = 0.4285714286 + -0.2857142857x-1
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