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Simplifying (3x + -2y + z) + -1(-2x + y + -1z) = 0 Remove parenthesis around (3x + -2y + z) 3x + -2y + z + -1(-2x + y + -1z) = 0 3x + -2y + z + (-2x * -1 + y * -1 + -1z * -1) = 0 3x + -2y + z + (2x + -1y + 1z) = 0 Reorder the terms: 3x + 2x + -2y + -1y + z + 1z = 0 Combine like terms: 3x + 2x = 5x 5x + -2y + -1y + z + 1z = 0 Combine like terms: -2y + -1y = -3y 5x + -3y + z + 1z = 0 Combine like terms: z + 1z = 2z 5x + -3y + 2z = 0 Solving 5x + -3y + 2z = 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. 5x + -3y + 3y + 2z = 0 + 3y Combine like terms: -3y + 3y = 0 5x + 0 + 2z = 0 + 3y 5x + 2z = 0 + 3y Remove the zero: 5x + 2z = 3y Add '-2z' to each side of the equation. 5x + 2z + -2z = 3y + -2z Combine like terms: 2z + -2z = 0 5x + 0 = 3y + -2z 5x = 3y + -2z Divide each side by '5'. x = 0.6y + -0.4z Simplifying x = 0.6y + -0.4z
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