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