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Simplifying (3 + -2k) * X + (k + 1) * y = 12 Reorder the terms for easier multiplication: X(3 + -2k) + (k + 1) * y = 12 (3 * X + -2k * X) + (k + 1) * y = 12 (3X + -2kX) + (k + 1) * y = 12 Reorder the terms: 3X + -2kX + (1 + k) * y = 12 Reorder the terms for easier multiplication: 3X + -2kX + y(1 + k) = 12 3X + -2kX + (1 * y + k * y) = 12 Reorder the terms: 3X + -2kX + (ky + 1y) = 12 3X + -2kX + (ky + 1y) = 12 Solving 3X + -2kX + ky + 1y = 12 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1ky' to each side of the equation. 3X + -2kX + ky + -1ky + 1y = 12 + -1ky Combine like terms: ky + -1ky = 0 3X + -2kX + 0 + 1y = 12 + -1ky 3X + -2kX + 1y = 12 + -1ky Add '-1y' to each side of the equation. 3X + -2kX + 1y + -1y = 12 + -1ky + -1y Combine like terms: 1y + -1y = 0 3X + -2kX + 0 = 12 + -1ky + -1y 3X + -2kX = 12 + -1ky + -1y Reorder the terms: -12 + 3X + -2kX + ky + y = 12 + -1ky + -1y + -12 + ky + y Reorder the terms: -12 + 3X + -2kX + ky + y = 12 + -12 + -1ky + ky + -1y + y Combine like terms: 12 + -12 = 0 -12 + 3X + -2kX + ky + y = 0 + -1ky + ky + -1y + y -12 + 3X + -2kX + ky + y = -1ky + ky + -1y + y Combine like terms: -1ky + ky = 0 -12 + 3X + -2kX + ky + y = 0 + -1y + y -12 + 3X + -2kX + ky + y = -1y + y Combine like terms: -1y + y = 0 -12 + 3X + -2kX + ky + y = 0 The solution to this equation could not be determined.
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