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Simplifying 4x + y + -4z = 8 Solving 4x + y + -4z = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 4x + y + -1y + -4z = 8 + -1y Combine like terms: y + -1y = 0 4x + 0 + -4z = 8 + -1y 4x + -4z = 8 + -1y Add '4z' to each side of the equation. 4x + -4z + 4z = 8 + -1y + 4z Combine like terms: -4z + 4z = 0 4x + 0 = 8 + -1y + 4z 4x = 8 + -1y + 4z Divide each side by '4'. x = 2 + -0.25y + z Simplifying x = 2 + -0.25y + z
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