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Simplifying 5x + 5y + 5z = 0 Solving 5x + 5y + 5z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 5x + 5y + -5y + 5z = 0 + -5y Combine like terms: 5y + -5y = 0 5x + 0 + 5z = 0 + -5y 5x + 5z = 0 + -5y Remove the zero: 5x + 5z = -5y Add '-5z' to each side of the equation. 5x + 5z + -5z = -5y + -5z Combine like terms: 5z + -5z = 0 5x + 0 = -5y + -5z 5x = -5y + -5z Divide each side by '5'. x = -1y + -1z Simplifying x = -1y + -1z
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