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Simplifying Xy + Xz + 4x + 4z = 0 Reorder the terms: 4x + yX + 4z + zX = 0 Solving 4x + yX + 4z + zX = 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. 4x + yX + 4z + -1yX + zX = 0 + -1yX Reorder the terms: 4x + yX + -1yX + 4z + zX = 0 + -1yX Combine like terms: yX + -1yX = 0 4x + 0 + 4z + zX = 0 + -1yX 4x + 4z + zX = 0 + -1yX Remove the zero: 4x + 4z + zX = -1yX Add '-4z' to each side of the equation. 4x + 4z + -4z + zX = -1yX + -4z Combine like terms: 4z + -4z = 0 4x + 0 + zX = -1yX + -4z 4x + zX = -1yX + -4z Add '-1zX' to each side of the equation. 4x + zX + -1zX = -1yX + -4z + -1zX Combine like terms: zX + -1zX = 0 4x + 0 = -1yX + -4z + -1zX 4x = -1yX + -4z + -1zX Divide each side by '4'. x = -0.25yX + -1z + -0.25zX Simplifying x = -0.25yX + -1z + -0.25zX
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