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Simplifying Xy + -2yz + 5x + -10z = 0 Reorder the terms: 5x + yX + -2yz + -10z = 0 Solving 5x + yX + -2yz + -10z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1yX' to each side of the equation. 5x + yX + -2yz + -1yX + -10z = 0 + -1yX Reorder the terms: 5x + yX + -1yX + -2yz + -10z = 0 + -1yX Combine like terms: yX + -1yX = 0 5x + 0 + -2yz + -10z = 0 + -1yX 5x + -2yz + -10z = 0 + -1yX Remove the zero: 5x + -2yz + -10z = -1yX Add '2yz' to each side of the equation. 5x + -2yz + 2yz + -10z = -1yX + 2yz Combine like terms: -2yz + 2yz = 0 5x + 0 + -10z = -1yX + 2yz 5x + -10z = -1yX + 2yz Add '10z' to each side of the equation. 5x + -10z + 10z = -1yX + 2yz + 10z Combine like terms: -10z + 10z = 0 5x + 0 = -1yX + 2yz + 10z 5x = -1yX + 2yz + 10z Divide each side by '5'. x = -0.2yX + 0.4yz + 2z Simplifying x = -0.2yX + 0.4yz + 2z
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