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Simplifying -7x + 6z + -8y + -5x + 12y + 4z + -1z + 2y + -11x = 0 Reorder the terms: -7x + -5x + -11x + -8y + 12y + 2y + 6z + 4z + -1z = 0 Combine like terms: -7x + -5x = -12x -12x + -11x + -8y + 12y + 2y + 6z + 4z + -1z = 0 Combine like terms: -12x + -11x = -23x -23x + -8y + 12y + 2y + 6z + 4z + -1z = 0 Combine like terms: -8y + 12y = 4y -23x + 4y + 2y + 6z + 4z + -1z = 0 Combine like terms: 4y + 2y = 6y -23x + 6y + 6z + 4z + -1z = 0 Combine like terms: 6z + 4z = 10z -23x + 6y + 10z + -1z = 0 Combine like terms: 10z + -1z = 9z -23x + 6y + 9z = 0 Solving -23x + 6y + 9z = 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. -23x + 6y + -6y + 9z = 0 + -6y Combine like terms: 6y + -6y = 0 -23x + 0 + 9z = 0 + -6y -23x + 9z = 0 + -6y Remove the zero: -23x + 9z = -6y Add '-9z' to each side of the equation. -23x + 9z + -9z = -6y + -9z Combine like terms: 9z + -9z = 0 -23x + 0 = -6y + -9z -23x = -6y + -9z Divide each side by '-23'. x = 0.2608695652y + 0.3913043478z Simplifying x = 0.2608695652y + 0.3913043478z
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