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Simplifying 5(z + y) + 6x = 0 Reorder the terms: 5(y + z) + 6x = 0 (y * 5 + z * 5) + 6x = 0 (5y + 5z) + 6x = 0 Reorder the terms: 6x + 5y + 5z = 0 Solving 6x + 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. 6x + 5y + -5y + 5z = 0 + -5y Combine like terms: 5y + -5y = 0 6x + 0 + 5z = 0 + -5y 6x + 5z = 0 + -5y Remove the zero: 6x + 5z = -5y Add '-5z' to each side of the equation. 6x + 5z + -5z = -5y + -5z Combine like terms: 5z + -5z = 0 6x + 0 = -5y + -5z 6x = -5y + -5z Divide each side by '6'. x = -0.8333333333y + -0.8333333333z Simplifying x = -0.8333333333y + -0.8333333333z
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