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Simplifying 4x + 6y + -14z + -1 = 0 Reorder the terms: -1 + 4x + 6y + -14z = 0 Solving -1 + 4x + 6y + -14z = 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 + 4x + 6y + 1 + -14z = 0 + 1 Reorder the terms: -1 + 1 + 4x + 6y + -14z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4x + 6y + -14z = 0 + 1 4x + 6y + -14z = 0 + 1 Combine like terms: 0 + 1 = 1 4x + 6y + -14z = 1 Add '-6y' to each side of the equation. 4x + 6y + -6y + -14z = 1 + -6y Combine like terms: 6y + -6y = 0 4x + 0 + -14z = 1 + -6y 4x + -14z = 1 + -6y Add '14z' to each side of the equation. 4x + -14z + 14z = 1 + -6y + 14z Combine like terms: -14z + 14z = 0 4x + 0 = 1 + -6y + 14z 4x = 1 + -6y + 14z Divide each side by '4'. x = 0.25 + -1.5y + 3.5z Simplifying x = 0.25 + -1.5y + 3.5z
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