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Simplifying (k + 1) * x2 + kx + 7x = -2 Reorder the terms: (1 + k) * x2 + kx + 7x = -2 Reorder the terms for easier multiplication: x2(1 + k) + kx + 7x = -2 (1 * x2 + k * x2) + kx + 7x = -2 Reorder the terms: (kx2 + 1x2) + kx + 7x = -2 (kx2 + 1x2) + kx + 7x = -2 Reorder the terms: kx + kx2 + 7x + 1x2 = -2 Solving kx + kx2 + 7x + 1x2 = -2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7x' to each side of the equation. kx + kx2 + 7x + -7x + 1x2 = -2 + -7x Combine like terms: 7x + -7x = 0 kx + kx2 + 0 + 1x2 = -2 + -7x kx + kx2 + 1x2 = -2 + -7x Add '-1x2' to each side of the equation. kx + kx2 + 1x2 + -1x2 = -2 + -7x + -1x2 Combine like terms: 1x2 + -1x2 = 0 kx + kx2 + 0 = -2 + -7x + -1x2 kx + kx2 = -2 + -7x + -1x2 Reorder the terms: 2 + kx + kx2 + 7x + x2 = -2 + -7x + -1x2 + 2 + 7x + x2 Reorder the terms: 2 + kx + kx2 + 7x + x2 = -2 + 2 + -7x + 7x + -1x2 + x2 Combine like terms: -2 + 2 = 0 2 + kx + kx2 + 7x + x2 = 0 + -7x + 7x + -1x2 + x2 2 + kx + kx2 + 7x + x2 = -7x + 7x + -1x2 + x2 Combine like terms: -7x + 7x = 0 2 + kx + kx2 + 7x + x2 = 0 + -1x2 + x2 2 + kx + kx2 + 7x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 2 + kx + kx2 + 7x + x2 = 0 The solution to this equation could not be determined.
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