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Simplifying 5(x + y) + z = 0 (x * 5 + y * 5) + z = 0 (5x + 5y) + z = 0 Solving 5x + 5y + z = 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 + z = 0 + -5y Combine like terms: 5y + -5y = 0 5x + 0 + z = 0 + -5y 5x + z = 0 + -5y Remove the zero: 5x + z = -5y Add '-1z' to each side of the equation. 5x + z + -1z = -5y + -1z Combine like terms: z + -1z = 0 5x + 0 = -5y + -1z 5x = -5y + -1z Divide each side by '5'. x = -1y + -0.2z Simplifying x = -1y + -0.2z
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