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Simplifying (4xy + 7y + 2z) + (8yx + -4y + 4z) + -1(7x + -6y + 5z) = 0 Remove parenthesis around (4xy + 7y + 2z) 4xy + 7y + 2z + (8yx + -4y + 4z) + -1(7x + -6y + 5z) = 0 Remove parenthesis around (8xy + -4y + 4z) 4xy + 7y + 2z + 8xy + -4y + 4z + -1(7x + -6y + 5z) = 0 4xy + 7y + 2z + 8xy + -4y + 4z + (7x * -1 + -6y * -1 + 5z * -1) = 0 4xy + 7y + 2z + 8xy + -4y + 4z + (-7x + 6y + -5z) = 0 Reorder the terms: -7x + 4xy + 8xy + 7y + -4y + 6y + 2z + 4z + -5z = 0 Combine like terms: 4xy + 8xy = 12xy -7x + 12xy + 7y + -4y + 6y + 2z + 4z + -5z = 0 Combine like terms: 7y + -4y = 3y -7x + 12xy + 3y + 6y + 2z + 4z + -5z = 0 Combine like terms: 3y + 6y = 9y -7x + 12xy + 9y + 2z + 4z + -5z = 0 Combine like terms: 2z + 4z = 6z -7x + 12xy + 9y + 6z + -5z = 0 Combine like terms: 6z + -5z = 1z -7x + 12xy + 9y + 1z = 0 Solving -7x + 12xy + 9y + 1z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9y' to each side of the equation. -7x + 12xy + 9y + -9y + 1z = 0 + -9y Combine like terms: 9y + -9y = 0 -7x + 12xy + 0 + 1z = 0 + -9y -7x + 12xy + 1z = 0 + -9y Remove the zero: -7x + 12xy + 1z = -9y Add '-1z' to each side of the equation. -7x + 12xy + 1z + -1z = -9y + -1z Combine like terms: 1z + -1z = 0 -7x + 12xy + 0 = -9y + -1z -7x + 12xy = -9y + -1z Reorder the terms: -7x + 12xy + 9y + z = -9y + 9y + -1z + z Combine like terms: -9y + 9y = 0 -7x + 12xy + 9y + z = 0 + -1z + z -7x + 12xy + 9y + z = -1z + z Combine like terms: -1z + z = 0 -7x + 12xy + 9y + z = 0 The solution to this equation could not be determined.
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