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Simplifying 6(X + -2y + 3 + z) = 0 Reorder the terms: 6(3 + X + -2y + z) = 0 (3 * 6 + X * 6 + -2y * 6 + z * 6) = 0 (18 + 6X + -12y + 6z) = 0 Solving 18 + 6X + -12y + 6z = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 6X + -12y + -18 + 6z = 0 + -18 Reorder the terms: 18 + -18 + 6X + -12y + 6z = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 6X + -12y + 6z = 0 + -18 6X + -12y + 6z = 0 + -18 Combine like terms: 0 + -18 = -18 6X + -12y + 6z = -18 Add '12y' to each side of the equation. 6X + -12y + 12y + 6z = -18 + 12y Combine like terms: -12y + 12y = 0 6X + 0 + 6z = -18 + 12y 6X + 6z = -18 + 12y Add '-6z' to each side of the equation. 6X + 6z + -6z = -18 + 12y + -6z Combine like terms: 6z + -6z = 0 6X + 0 = -18 + 12y + -6z 6X = -18 + 12y + -6z Divide each side by '6'. X = -3 + 2y + -1z Simplifying X = -3 + 2y + -1z
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