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