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Simplifying (k + 7) * x = 5k + 3 + -6y Reorder the terms: (7 + k) * x = 5k + 3 + -6y Reorder the terms for easier multiplication: x(7 + k) = 5k + 3 + -6y (7 * x + k * x) = 5k + 3 + -6y Reorder the terms: (kx + 7x) = 5k + 3 + -6y (kx + 7x) = 5k + 3 + -6y Reorder the terms: kx + 7x = 3 + 5k + -6y Solving kx + 7x = 3 + 5k + -6y Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. kx + -5k + 7x = 3 + 5k + -5k + -6y Reorder the terms: -5k + kx + 7x = 3 + 5k + -5k + -6y Combine like terms: 5k + -5k = 0 -5k + kx + 7x = 3 + 0 + -6y -5k + kx + 7x = 3 + -6y Add '-7x' to each side of the equation. -5k + kx + 7x + -7x = 3 + -7x + -6y Combine like terms: 7x + -7x = 0 -5k + kx + 0 = 3 + -7x + -6y -5k + kx = 3 + -7x + -6y Reorder the terms: -3 + -5k + kx + 7x + 6y = 3 + -7x + -6y + -3 + 7x + 6y Reorder the terms: -3 + -5k + kx + 7x + 6y = 3 + -3 + -7x + 7x + -6y + 6y Combine like terms: 3 + -3 = 0 -3 + -5k + kx + 7x + 6y = 0 + -7x + 7x + -6y + 6y -3 + -5k + kx + 7x + 6y = -7x + 7x + -6y + 6y Combine like terms: -7x + 7x = 0 -3 + -5k + kx + 7x + 6y = 0 + -6y + 6y -3 + -5k + kx + 7x + 6y = -6y + 6y Combine like terms: -6y + 6y = 0 -3 + -5k + kx + 7x + 6y = 0 The solution to this equation could not be determined.
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