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Simplifying 10x + -12y + z + 15y + -12z + 13x + 7y + 11z + -20x = 0 Reorder the terms: 10x + 13x + -20x + -12y + 15y + 7y + z + -12z + 11z = 0 Combine like terms: 10x + 13x = 23x 23x + -20x + -12y + 15y + 7y + z + -12z + 11z = 0 Combine like terms: 23x + -20x = 3x 3x + -12y + 15y + 7y + z + -12z + 11z = 0 Combine like terms: -12y + 15y = 3y 3x + 3y + 7y + z + -12z + 11z = 0 Combine like terms: 3y + 7y = 10y 3x + 10y + z + -12z + 11z = 0 Combine like terms: z + -12z = -11z 3x + 10y + -11z + 11z = 0 Combine like terms: -11z + 11z = 0 3x + 10y + 0 = 0 3x + 10y = 0 Solving 3x + 10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. 3x + 10y + -10y = 0 + -10y Combine like terms: 10y + -10y = 0 3x + 0 = 0 + -10y 3x = 0 + -10y Remove the zero: 3x = -10y Divide each side by '3'. x = -3.333333333y Simplifying x = -3.333333333y
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