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