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Simplifying (-5z + 2x) + (3z + (-8x)) = 0 Reorder the terms: (2x + -5z) + (3z + (-8x)) = 0 Remove parenthesis around (2x + -5z) 2x + -5z + (3z + (-8x)) = 0 Reorder the terms: 2x + -5z + ((-8x) + 3z) = 0 Remove parenthesis around ((-8x) + 3z) 2x + -5z + (-8x) + 3z = 0 Reorder the terms: 2x + (-8x) + -5z + 3z = 0 Combine like terms: 2x + (-8x) = -6x -6x + -5z + 3z = 0 Combine like terms: -5z + 3z = -2z -6x + -2z = 0 Solving -6x + -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. -6x + -2z + 2z = 0 + 2z Combine like terms: -2z + 2z = 0 -6x + 0 = 0 + 2z -6x = 0 + 2z Remove the zero: -6x = 2z Divide each side by '-6'. x = -0.3333333333z Simplifying x = -0.3333333333z
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