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Simplifying (k + 5) * x * 2 + -10x + 3 = 0 Reorder the terms: (5 + k) * x * 2 + -10x + 3 = 0 Reorder the terms for easier multiplication: 2x(5 + k) + -10x + 3 = 0 (5 * 2x + k * 2x) + -10x + 3 = 0 Reorder the terms: (2kx + 10x) + -10x + 3 = 0 (2kx + 10x) + -10x + 3 = 0 Reorder the terms: 3 + 2kx + 10x + -10x = 0 Combine like terms: 10x + -10x = 0 3 + 2kx + 0 = 0 3 + 2kx = 0 Solving 3 + 2kx = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2kx = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2kx = 0 + -3 2kx = 0 + -3 Combine like terms: 0 + -3 = -3 2kx = -3 Divide each side by '2x'. k = -1.5x-1 Simplifying k = -1.5x-1
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