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Simplifying 4z + 2(z + -2x) = 0 Reorder the terms: 4z + 2(-2x + z) = 0 4z + (-2x * 2 + z * 2) = 0 4z + (-4x + 2z) = 0 Reorder the terms: -4x + 4z + 2z = 0 Combine like terms: 4z + 2z = 6z -4x + 6z = 0 Solving -4x + 6z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6z' to each side of the equation. -4x + 6z + -6z = 0 + -6z Combine like terms: 6z + -6z = 0 -4x + 0 = 0 + -6z -4x = 0 + -6z Remove the zero: -4x = -6z Divide each side by '-4'. x = 1.5z Simplifying x = 1.5z
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