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Simplifying 8x + 4y + 7z + -4x + 4z + -5y = 0 Reorder the terms: 8x + -4x + 4y + -5y + 7z + 4z = 0 Combine like terms: 8x + -4x = 4x 4x + 4y + -5y + 7z + 4z = 0 Combine like terms: 4y + -5y = -1y 4x + -1y + 7z + 4z = 0 Combine like terms: 7z + 4z = 11z 4x + -1y + 11z = 0 Solving 4x + -1y + 11z = 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 + 11z = 0 + y Combine like terms: -1y + y = 0 4x + 0 + 11z = 0 + y 4x + 11z = 0 + y Remove the zero: 4x + 11z = y Add '-11z' to each side of the equation. 4x + 11z + -11z = y + -11z Combine like terms: 11z + -11z = 0 4x + 0 = y + -11z 4x = y + -11z Divide each side by '4'. x = 0.25y + -2.75z Simplifying x = 0.25y + -2.75z
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