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Simplifying 4x + 6y + 7z = 0 Solving 4x + 6y + 7z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 4x + 6y + -6y + 7z = 0 + -6y Combine like terms: 6y + -6y = 0 4x + 0 + 7z = 0 + -6y 4x + 7z = 0 + -6y Remove the zero: 4x + 7z = -6y Add '-7z' to each side of the equation. 4x + 7z + -7z = -6y + -7z Combine like terms: 7z + -7z = 0 4x + 0 = -6y + -7z 4x = -6y + -7z Divide each side by '4'. x = -1.5y + -1.75z Simplifying x = -1.5y + -1.75z
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