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Simplifying 3z + 6x + -5z + 2x = 0 Reorder the terms: 6x + 2x + 3z + -5z = 0 Combine like terms: 6x + 2x = 8x 8x + 3z + -5z = 0 Combine like terms: 3z + -5z = -2z 8x + -2z = 0 Solving 8x + -2z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2z' to each side of the equation. 8x + -2z + 2z = 0 + 2z Combine like terms: -2z + 2z = 0 8x + 0 = 0 + 2z 8x = 0 + 2z Remove the zero: 8x = 2z Divide each side by '8'. x = 0.25z Simplifying x = 0.25z
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