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Simplifying 6x + 5y + 8z + -3x + 5z + -7y = 0 Reorder the terms: 6x + -3x + 5y + -7y + 8z + 5z = 0 Combine like terms: 6x + -3x = 3x 3x + 5y + -7y + 8z + 5z = 0 Combine like terms: 5y + -7y = -2y 3x + -2y + 8z + 5z = 0 Combine like terms: 8z + 5z = 13z 3x + -2y + 13z = 0 Solving 3x + -2y + 13z = 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. 3x + -2y + 2y + 13z = 0 + 2y Combine like terms: -2y + 2y = 0 3x + 0 + 13z = 0 + 2y 3x + 13z = 0 + 2y Remove the zero: 3x + 13z = 2y Add '-13z' to each side of the equation. 3x + 13z + -13z = 2y + -13z Combine like terms: 13z + -13z = 0 3x + 0 = 2y + -13z 3x = 2y + -13z Divide each side by '3'. x = 0.6666666667y + -4.333333333z Simplifying x = 0.6666666667y + -4.333333333z
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