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Simplifying 6x + 2y + 8z + -2x + 5z + -3y = 0 Reorder the terms: 6x + -2x + 2y + -3y + 8z + 5z = 0 Combine like terms: 6x + -2x = 4x 4x + 2y + -3y + 8z + 5z = 0 Combine like terms: 2y + -3y = -1y 4x + -1y + 8z + 5z = 0 Combine like terms: 8z + 5z = 13z 4x + -1y + 13z = 0 Solving 4x + -1y + 13z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 4x + -1y + y + 13z = 0 + y Combine like terms: -1y + y = 0 4x + 0 + 13z = 0 + y 4x + 13z = 0 + y Remove the zero: 4x + 13z = y Add '-13z' to each side of the equation. 4x + 13z + -13z = y + -13z Combine like terms: 13z + -13z = 0 4x + 0 = y + -13z 4x = y + -13z Divide each side by '4'. x = 0.25y + -3.25z Simplifying x = 0.25y + -3.25z
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