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Simplifying 8x + -1z = 4(2z + 1) Reorder the terms: 8x + -1z = 4(1 + 2z) 8x + -1z = (1 * 4 + 2z * 4) 8x + -1z = (4 + 8z) Solving 8x + -1z = 4 + 8z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'z' to each side of the equation. 8x + -1z + z = 4 + 8z + z Combine like terms: -1z + z = 0 8x + 0 = 4 + 8z + z 8x = 4 + 8z + z Combine like terms: 8z + z = 9z 8x = 4 + 9z Divide each side by '8'. x = 0.5 + 1.125z Simplifying x = 0.5 + 1.125z
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