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Simplifying 18x + -19y + 22z + 7y + -7x + 13z = 0 Reorder the terms: 18x + -7x + -19y + 7y + 22z + 13z = 0 Combine like terms: 18x + -7x = 11x 11x + -19y + 7y + 22z + 13z = 0 Combine like terms: -19y + 7y = -12y 11x + -12y + 22z + 13z = 0 Combine like terms: 22z + 13z = 35z 11x + -12y + 35z = 0 Solving 11x + -12y + 35z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12y' to each side of the equation. 11x + -12y + 12y + 35z = 0 + 12y Combine like terms: -12y + 12y = 0 11x + 0 + 35z = 0 + 12y 11x + 35z = 0 + 12y Remove the zero: 11x + 35z = 12y Add '-35z' to each side of the equation. 11x + 35z + -35z = 12y + -35z Combine like terms: 35z + -35z = 0 11x + 0 = 12y + -35z 11x = 12y + -35z Divide each side by '11'. x = 1.090909091y + -3.181818182z Simplifying x = 1.090909091y + -3.181818182z
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