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Simplifying 2(2x + 3y + -7z) = 0 (2x * 2 + 3y * 2 + -7z * 2) = 0 (4x + 6y + -14z) = 0 Solving 4x + 6y + -14z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 4x + 6y + -6y + -14z = 0 + -6y Combine like terms: 6y + -6y = 0 4x + 0 + -14z = 0 + -6y 4x + -14z = 0 + -6y Remove the zero: 4x + -14z = -6y Add '14z' to each side of the equation. 4x + -14z + 14z = -6y + 14z Combine like terms: -14z + 14z = 0 4x + 0 = -6y + 14z 4x = -6y + 14z Divide each side by '4'. x = -1.5y + 3.5z Simplifying x = -1.5y + 3.5z
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