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