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Simplifying 5x + y + -4z = 0 Solving 5x + y + -4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 5x + y + -1y + -4z = 0 + -1y Combine like terms: y + -1y = 0 5x + 0 + -4z = 0 + -1y 5x + -4z = 0 + -1y Remove the zero: 5x + -4z = -1y Add '4z' to each side of the equation. 5x + -4z + 4z = -1y + 4z Combine like terms: -4z + 4z = 0 5x + 0 = -1y + 4z 5x = -1y + 4z Divide each side by '5'. x = -0.2y + 0.8z Simplifying x = -0.2y + 0.8z
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