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Simplifying 2x + -3y + -8z + -3x + 5y + -11z = 0 Reorder the terms: 2x + -3x + -3y + 5y + -8z + -11z = 0 Combine like terms: 2x + -3x = -1x -1x + -3y + 5y + -8z + -11z = 0 Combine like terms: -3y + 5y = 2y -1x + 2y + -8z + -11z = 0 Combine like terms: -8z + -11z = -19z -1x + 2y + -19z = 0 Solving -1x + 2y + -19z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. -1x + 2y + -2y + -19z = 0 + -2y Combine like terms: 2y + -2y = 0 -1x + 0 + -19z = 0 + -2y -1x + -19z = 0 + -2y Remove the zero: -1x + -19z = -2y Add '19z' to each side of the equation. -1x + -19z + 19z = -2y + 19z Combine like terms: -19z + 19z = 0 -1x + 0 = -2y + 19z -1x = -2y + 19z Divide each side by '-1'. x = 2y + -19z Simplifying x = 2y + -19z
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