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Simplifying 7x + -6[8 + -6(x + 9)] = 0 Reorder the terms: 7x + -6[8 + -6(9 + x)] = 0 7x + -6[8 + (9 * -6 + x * -6)] = 0 7x + -6[8 + (-54 + -6x)] = 0 Combine like terms: 8 + -54 = -46 7x + -6[-46 + -6x] = 0 7x + [-46 * -6 + -6x * -6] = 0 7x + [276 + 36x] = 0 Reorder the terms: 276 + 7x + 36x = 0 Combine like terms: 7x + 36x = 43x 276 + 43x = 0 Solving 276 + 43x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-276' to each side of the equation. 276 + -276 + 43x = 0 + -276 Combine like terms: 276 + -276 = 0 0 + 43x = 0 + -276 43x = 0 + -276 Combine like terms: 0 + -276 = -276 43x = -276 Divide each side by '43'. x = -6.418604651 Simplifying x = -6.418604651
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