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Simplifying 8x + 3y + 7z + -4x + 3z + 4y = 0 Reorder the terms: 8x + -4x + 3y + 4y + 7z + 3z = 0 Combine like terms: 8x + -4x = 4x 4x + 3y + 4y + 7z + 3z = 0 Combine like terms: 3y + 4y = 7y 4x + 7y + 7z + 3z = 0 Combine like terms: 7z + 3z = 10z 4x + 7y + 10z = 0 Solving 4x + 7y + 10z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 4x + 7y + -7y + 10z = 0 + -7y Combine like terms: 7y + -7y = 0 4x + 0 + 10z = 0 + -7y 4x + 10z = 0 + -7y Remove the zero: 4x + 10z = -7y Add '-10z' to each side of the equation. 4x + 10z + -10z = -7y + -10z Combine like terms: 10z + -10z = 0 4x + 0 = -7y + -10z 4x = -7y + -10z Divide each side by '4'. x = -1.75y + -2.5z Simplifying x = -1.75y + -2.5z
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