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