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Simplifying z2 + 4z + 2x + -12 = 0 Reorder the terms: -12 + 2x + 4z + z2 = 0 Solving -12 + 2x + 4z + z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 2x + 4z + 12 + z2 = 0 + 12 Reorder the terms: -12 + 12 + 2x + 4z + z2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2x + 4z + z2 = 0 + 12 2x + 4z + z2 = 0 + 12 Combine like terms: 0 + 12 = 12 2x + 4z + z2 = 12 Add '-4z' to each side of the equation. 2x + 4z + -4z + z2 = 12 + -4z Combine like terms: 4z + -4z = 0 2x + 0 + z2 = 12 + -4z 2x + z2 = 12 + -4z Add '-1z2' to each side of the equation. 2x + z2 + -1z2 = 12 + -4z + -1z2 Combine like terms: z2 + -1z2 = 0 2x + 0 = 12 + -4z + -1z2 2x = 12 + -4z + -1z2 Divide each side by '2'. x = 6 + -2z + -0.5z2 Simplifying x = 6 + -2z + -0.5z2
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