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Simplifying 5x + -1(2 + -1k) * x = 3 Reorder the terms for easier multiplication: 5x + -1x(2 + -1k) = 3 5x + (2 * -1x + -1k * -1x) = 3 Reorder the terms: 5x + (1kx + -2x) = 3 5x + (1kx + -2x) = 3 Reorder the terms: 1kx + 5x + -2x = 3 Combine like terms: 5x + -2x = 3x 1kx + 3x = 3 Solving 1kx + 3x = 3 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3x' to each side of the equation. 1kx + 3x + -3x = 3 + -3x Combine like terms: 3x + -3x = 0 1kx + 0 = 3 + -3x 1kx = 3 + -3x Divide each side by '1x'. k = 3x-1 + -3 Simplifying k = 3x-1 + -3 Reorder the terms: k = -3 + 3x-1
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