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Simplifying x + -2[1 + -3(2x + 8)] = 72 Reorder the terms: x + -2[1 + -3(8 + 2x)] = 72 x + -2[1 + (8 * -3 + 2x * -3)] = 72 x + -2[1 + (-24 + -6x)] = 72 Combine like terms: 1 + -24 = -23 x + -2[-23 + -6x] = 72 x + [-23 * -2 + -6x * -2] = 72 x + [46 + 12x] = 72 Reorder the terms: 46 + x + 12x = 72 Combine like terms: x + 12x = 13x 46 + 13x = 72 Solving 46 + 13x = 72 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 13x = 72 + -46 Combine like terms: 46 + -46 = 0 0 + 13x = 72 + -46 13x = 72 + -46 Combine like terms: 72 + -46 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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