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Simplifying 7x + 3y + 8z + -5x + 5x + 5z + -6y = 0 Reorder the terms: 7x + -5x + 5x + 3y + -6y + 8z + 5z = 0 Combine like terms: 7x + -5x = 2x 2x + 5x + 3y + -6y + 8z + 5z = 0 Combine like terms: 2x + 5x = 7x 7x + 3y + -6y + 8z + 5z = 0 Combine like terms: 3y + -6y = -3y 7x + -3y + 8z + 5z = 0 Combine like terms: 8z + 5z = 13z 7x + -3y + 13z = 0 Solving 7x + -3y + 13z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 7x + -3y + 3y + 13z = 0 + 3y Combine like terms: -3y + 3y = 0 7x + 0 + 13z = 0 + 3y 7x + 13z = 0 + 3y Remove the zero: 7x + 13z = 3y Add '-13z' to each side of the equation. 7x + 13z + -13z = 3y + -13z Combine like terms: 13z + -13z = 0 7x + 0 = 3y + -13z 7x = 3y + -13z Divide each side by '7'. x = 0.4285714286y + -1.857142857z Simplifying x = 0.4285714286y + -1.857142857z
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