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Simplifying 2x + -5y + -2z + 4x + -6y + z = 0 Reorder the terms: 2x + 4x + -5y + -6y + -2z + z = 0 Combine like terms: 2x + 4x = 6x 6x + -5y + -6y + -2z + z = 0 Combine like terms: -5y + -6y = -11y 6x + -11y + -2z + z = 0 Combine like terms: -2z + z = -1z 6x + -11y + -1z = 0 Solving 6x + -11y + -1z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11y' to each side of the equation. 6x + -11y + 11y + -1z = 0 + 11y Combine like terms: -11y + 11y = 0 6x + 0 + -1z = 0 + 11y 6x + -1z = 0 + 11y Remove the zero: 6x + -1z = 11y Add 'z' to each side of the equation. 6x + -1z + z = 11y + z Combine like terms: -1z + z = 0 6x + 0 = 11y + z 6x = 11y + z Divide each side by '6'. x = 1.833333333y + 0.1666666667z Simplifying x = 1.833333333y + 0.1666666667z
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