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Simplifying (2x + 3y + 4) * dx = (4x + 6y + 1) Reorder the terms: (4 + 2x + 3y) * dx = (4x + 6y + 1) Reorder the terms for easier multiplication: dx(4 + 2x + 3y) = (4x + 6y + 1) (4 * dx + 2x * dx + 3y * dx) = (4x + 6y + 1) Reorder the terms: (4dx + 3dxy + 2dx2) = (4x + 6y + 1) (4dx + 3dxy + 2dx2) = (4x + 6y + 1) Reorder the terms: 4dx + 3dxy + 2dx2 = (1 + 4x + 6y) Remove parenthesis around (1 + 4x + 6y) 4dx + 3dxy + 2dx2 = 1 + 4x + 6y Solving 4dx + 3dxy + 2dx2 = 1 + 4x + 6y Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Reorder the terms: -1 + 4dx + 3dxy + 2dx2 + -4x + -6y = 1 + 4x + 6y + -1 + -4x + -6y Reorder the terms: -1 + 4dx + 3dxy + 2dx2 + -4x + -6y = 1 + -1 + 4x + -4x + 6y + -6y Combine like terms: 1 + -1 = 0 -1 + 4dx + 3dxy + 2dx2 + -4x + -6y = 0 + 4x + -4x + 6y + -6y -1 + 4dx + 3dxy + 2dx2 + -4x + -6y = 4x + -4x + 6y + -6y Combine like terms: 4x + -4x = 0 -1 + 4dx + 3dxy + 2dx2 + -4x + -6y = 0 + 6y + -6y -1 + 4dx + 3dxy + 2dx2 + -4x + -6y = 6y + -6y Combine like terms: 6y + -6y = 0 -1 + 4dx + 3dxy + 2dx2 + -4x + -6y = 0 The solution to this equation could not be determined.
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