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Simplifying (3x + 2y + z) + (6x + -5y + -1z) = 0 Remove parenthesis around (3x + 2y + z) 3x + 2y + z + (6x + -5y + -1z) = 0 Remove parenthesis around (6x + -5y + -1z) 3x + 2y + z + 6x + -5y + -1z = 0 Reorder the terms: 3x + 6x + 2y + -5y + z + -1z = 0 Combine like terms: 3x + 6x = 9x 9x + 2y + -5y + z + -1z = 0 Combine like terms: 2y + -5y = -3y 9x + -3y + z + -1z = 0 Combine like terms: z + -1z = 0 9x + -3y + 0 = 0 9x + -3y = 0 Solving 9x + -3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 9x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 9x + 0 = 0 + 3y 9x = 0 + 3y Remove the zero: 9x = 3y Divide each side by '9'. x = 0.3333333333y Simplifying x = 0.3333333333y
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