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Simplifying -7x + 6z + -1y + -1z + 4z + -6z + 5y + -11x = 0 Reorder the terms: -7x + -11x + -1y + 5y + 6z + -1z + 4z + -6z = 0 Combine like terms: -7x + -11x = -18x -18x + -1y + 5y + 6z + -1z + 4z + -6z = 0 Combine like terms: -1y + 5y = 4y -18x + 4y + 6z + -1z + 4z + -6z = 0 Combine like terms: 6z + -1z = 5z -18x + 4y + 5z + 4z + -6z = 0 Combine like terms: 5z + 4z = 9z -18x + 4y + 9z + -6z = 0 Combine like terms: 9z + -6z = 3z -18x + 4y + 3z = 0 Solving -18x + 4y + 3z = 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. -18x + 4y + -4y + 3z = 0 + -4y Combine like terms: 4y + -4y = 0 -18x + 0 + 3z = 0 + -4y -18x + 3z = 0 + -4y Remove the zero: -18x + 3z = -4y Add '-3z' to each side of the equation. -18x + 3z + -3z = -4y + -3z Combine like terms: 3z + -3z = 0 -18x + 0 = -4y + -3z -18x = -4y + -3z Divide each side by '-18'. x = 0.2222222222y + 0.1666666667z Simplifying x = 0.2222222222y + 0.1666666667z
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