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Simplifying 8z + 12x + -3z + -2x = 0 Reorder the terms: 12x + -2x + 8z + -3z = 0 Combine like terms: 12x + -2x = 10x 10x + 8z + -3z = 0 Combine like terms: 8z + -3z = 5z 10x + 5z = 0 Solving 10x + 5z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5z' to each side of the equation. 10x + 5z + -5z = 0 + -5z Combine like terms: 5z + -5z = 0 10x + 0 = 0 + -5z 10x = 0 + -5z Remove the zero: 10x = -5z Divide each side by '10'. x = -0.5z Simplifying x = -0.5z
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