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Simplifying 4x + -3y + 8z + 2x + x + 5y + -2z = 0 Reorder the terms: 4x + 2x + x + -3y + 5y + 8z + -2z = 0 Combine like terms: 4x + 2x = 6x 6x + x + -3y + 5y + 8z + -2z = 0 Combine like terms: 6x + x = 7x 7x + -3y + 5y + 8z + -2z = 0 Combine like terms: -3y + 5y = 2y 7x + 2y + 8z + -2z = 0 Combine like terms: 8z + -2z = 6z 7x + 2y + 6z = 0 Solving 7x + 2y + 6z = 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. 7x + 2y + -2y + 6z = 0 + -2y Combine like terms: 2y + -2y = 0 7x + 0 + 6z = 0 + -2y 7x + 6z = 0 + -2y Remove the zero: 7x + 6z = -2y Add '-6z' to each side of the equation. 7x + 6z + -6z = -2y + -6z Combine like terms: 6z + -6z = 0 7x + 0 = -2y + -6z 7x = -2y + -6z Divide each side by '7'. x = -0.2857142857y + -0.8571428571z Simplifying x = -0.2857142857y + -0.8571428571z
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