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Simplifying 6x + 3y + 7z + -2x + 3z = 0 Reorder the terms: 6x + -2x + 3y + 7z + 3z = 0 Combine like terms: 6x + -2x = 4x 4x + 3y + 7z + 3z = 0 Combine like terms: 7z + 3z = 10z 4x + 3y + 10z = 0 Solving 4x + 3y + 10z = 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. 4x + 3y + -3y + 10z = 0 + -3y Combine like terms: 3y + -3y = 0 4x + 0 + 10z = 0 + -3y 4x + 10z = 0 + -3y Remove the zero: 4x + 10z = -3y Add '-10z' to each side of the equation. 4x + 10z + -10z = -3y + -10z Combine like terms: 10z + -10z = 0 4x + 0 = -3y + -10z 4x = -3y + -10z Divide each side by '4'. x = -0.75y + -2.5z Simplifying x = -0.75y + -2.5z
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