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Simplifying 15x + 5y + 5z + -7x + -6y + 2z = 0 Reorder the terms: 15x + -7x + 5y + -6y + 5z + 2z = 0 Combine like terms: 15x + -7x = 8x 8x + 5y + -6y + 5z + 2z = 0 Combine like terms: 5y + -6y = -1y 8x + -1y + 5z + 2z = 0 Combine like terms: 5z + 2z = 7z 8x + -1y + 7z = 0 Solving 8x + -1y + 7z = 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. 8x + -1y + y + 7z = 0 + y Combine like terms: -1y + y = 0 8x + 0 + 7z = 0 + y 8x + 7z = 0 + y Remove the zero: 8x + 7z = y Add '-7z' to each side of the equation. 8x + 7z + -7z = y + -7z Combine like terms: 7z + -7z = 0 8x + 0 = y + -7z 8x = y + -7z Divide each side by '8'. x = 0.125y + -0.875z Simplifying x = 0.125y + -0.875z
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