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Simplifying 8x + 12 + z = 5z Reorder the terms: 12 + 8x + z = 5z Solving 12 + 8x + z = 5z 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 + 8x + -12 + z = -12 + 5z Reorder the terms: 12 + -12 + 8x + z = -12 + 5z Combine like terms: 12 + -12 = 0 0 + 8x + z = -12 + 5z 8x + z = -12 + 5z Add '-1z' to each side of the equation. 8x + z + -1z = -12 + 5z + -1z Combine like terms: z + -1z = 0 8x + 0 = -12 + 5z + -1z 8x = -12 + 5z + -1z Combine like terms: 5z + -1z = 4z 8x = -12 + 4z Divide each side by '8'. x = -1.5 + 0.5z Simplifying x = -1.5 + 0.5z
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