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Simplifying 11(x + 9z) + -5(x + 9z) = 0 (x * 11 + 9z * 11) + -5(x + 9z) = 0 (11x + 99z) + -5(x + 9z) = 0 11x + 99z + (x * -5 + 9z * -5) = 0 11x + 99z + (-5x + -45z) = 0 Reorder the terms: 11x + -5x + 99z + -45z = 0 Combine like terms: 11x + -5x = 6x 6x + 99z + -45z = 0 Combine like terms: 99z + -45z = 54z 6x + 54z = 0 Solving 6x + 54z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54z' to each side of the equation. 6x + 54z + -54z = 0 + -54z Combine like terms: 54z + -54z = 0 6x + 0 = 0 + -54z 6x = 0 + -54z Remove the zero: 6x = -54z Divide each side by '6'. x = -9z Simplifying x = -9z
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