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Simplifying 10x + -12y + z + 15y + -12x + 13x + 7y + 11z + -20 = 0 Reorder the terms: -20 + 10x + -12x + 13x + -12y + 15y + 7y + z + 11z = 0 Combine like terms: 10x + -12x = -2x -20 + -2x + 13x + -12y + 15y + 7y + z + 11z = 0 Combine like terms: -2x + 13x = 11x -20 + 11x + -12y + 15y + 7y + z + 11z = 0 Combine like terms: -12y + 15y = 3y -20 + 11x + 3y + 7y + z + 11z = 0 Combine like terms: 3y + 7y = 10y -20 + 11x + 10y + z + 11z = 0 Combine like terms: z + 11z = 12z -20 + 11x + 10y + 12z = 0 Solving -20 + 11x + 10y + 12z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 11x + 10y + 20 + 12z = 0 + 20 Reorder the terms: -20 + 20 + 11x + 10y + 12z = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 11x + 10y + 12z = 0 + 20 11x + 10y + 12z = 0 + 20 Combine like terms: 0 + 20 = 20 11x + 10y + 12z = 20 Add '-10y' to each side of the equation. 11x + 10y + -10y + 12z = 20 + -10y Combine like terms: 10y + -10y = 0 11x + 0 + 12z = 20 + -10y 11x + 12z = 20 + -10y Add '-12z' to each side of the equation. 11x + 12z + -12z = 20 + -10y + -12z Combine like terms: 12z + -12z = 0 11x + 0 = 20 + -10y + -12z 11x = 20 + -10y + -12z Divide each side by '11'. x = 1.818181818 + -0.9090909091y + -1.090909091z Simplifying x = 1.818181818 + -0.9090909091y + -1.090909091z
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