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Simplifying 8x + -1y + z = 12 Solving 8x + -1y + z = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 8x + -1y + y + z = 12 + y Combine like terms: -1y + y = 0 8x + 0 + z = 12 + y 8x + z = 12 + y Add '-1z' to each side of the equation. 8x + z + -1z = 12 + y + -1z Combine like terms: z + -1z = 0 8x + 0 = 12 + y + -1z 8x = 12 + y + -1z Divide each side by '8'. x = 1.5 + 0.125y + -0.125z Simplifying x = 1.5 + 0.125y + -0.125z
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