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Simplifying 7x + 4y + 8z + -3x + 4z + -5y = 0 Reorder the terms: 7x + -3x + 4y + -5y + 8z + 4z = 0 Combine like terms: 7x + -3x = 4x 4x + 4y + -5y + 8z + 4z = 0 Combine like terms: 4y + -5y = -1y 4x + -1y + 8z + 4z = 0 Combine like terms: 8z + 4z = 12z 4x + -1y + 12z = 0 Solving 4x + -1y + 12z = 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 + 12z = 0 + y Combine like terms: -1y + y = 0 4x + 0 + 12z = 0 + y 4x + 12z = 0 + y Remove the zero: 4x + 12z = y Add '-12z' to each side of the equation. 4x + 12z + -12z = y + -12z Combine like terms: 12z + -12z = 0 4x + 0 = y + -12z 4x = y + -12z Divide each side by '4'. x = 0.25y + -3z Simplifying x = 0.25y + -3z
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