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Simplifying 4z + -12y + 5x = 0 Reorder the terms: 5x + -12y + 4z = 0 Solving 5x + -12y + 4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12y' to each side of the equation. 5x + -12y + 12y + 4z = 0 + 12y Combine like terms: -12y + 12y = 0 5x + 0 + 4z = 0 + 12y 5x + 4z = 0 + 12y Remove the zero: 5x + 4z = 12y Add '-4z' to each side of the equation. 5x + 4z + -4z = 12y + -4z Combine like terms: 4z + -4z = 0 5x + 0 = 12y + -4z 5x = 12y + -4z Divide each side by '5'. x = 2.4y + -0.8z Simplifying x = 2.4y + -0.8z
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