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Simplifying 2x + y + -1z + -1(x + -1y + -1z) = 0 2x + y + -1z + (x * -1 + -1y * -1 + -1z * -1) = 0 2x + y + -1z + (-1x + 1y + 1z) = 0 Reorder the terms: 2x + -1x + y + 1y + -1z + 1z = 0 Combine like terms: 2x + -1x = 1x 1x + y + 1y + -1z + 1z = 0 Combine like terms: y + 1y = 2y 1x + 2y + -1z + 1z = 0 Combine like terms: -1z + 1z = 0 1x + 2y + 0 = 0 1x + 2y = 0 Solving 1x + 2y = 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 = 0 + -2y Combine like terms: 2y + -2y = 0 1x + 0 = 0 + -2y 1x = 0 + -2y Remove the zero: 1x = -2y Divide each side by '1'. x = -2y Simplifying x = -2y
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