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Simplifying 9x + -3[6 + -5(x + 8)] = 0 Reorder the terms: 9x + -3[6 + -5(8 + x)] = 0 9x + -3[6 + (8 * -5 + x * -5)] = 0 9x + -3[6 + (-40 + -5x)] = 0 Combine like terms: 6 + -40 = -34 9x + -3[-34 + -5x] = 0 9x + [-34 * -3 + -5x * -3] = 0 9x + [102 + 15x] = 0 Reorder the terms: 102 + 9x + 15x = 0 Combine like terms: 9x + 15x = 24x 102 + 24x = 0 Solving 102 + 24x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-102' to each side of the equation. 102 + -102 + 24x = 0 + -102 Combine like terms: 102 + -102 = 0 0 + 24x = 0 + -102 24x = 0 + -102 Combine like terms: 0 + -102 = -102 24x = -102 Divide each side by '24'. x = -4.25 Simplifying x = -4.25
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