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Simplifying 1 + [-2 + 6(8 + -2x)] = -1(x + 5) 1 + [-2 + (8 * 6 + -2x * 6)] = -1(x + 5) 1 + [-2 + (48 + -12x)] = -1(x + 5) Combine like terms: -2 + 48 = 46 1 + [46 + -12x] = -1(x + 5) Remove brackets around [46 + -12x] 1 + 46 + -12x = -1(x + 5) Combine like terms: 1 + 46 = 47 47 + -12x = -1(x + 5) Reorder the terms: 47 + -12x = -1(5 + x) 47 + -12x = (5 * -1 + x * -1) 47 + -12x = (-5 + -1x) Solving 47 + -12x = -5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 47 + -12x + x = -5 + -1x + x Combine like terms: -12x + x = -11x 47 + -11x = -5 + -1x + x Combine like terms: -1x + x = 0 47 + -11x = -5 + 0 47 + -11x = -5 Add '-47' to each side of the equation. 47 + -47 + -11x = -5 + -47 Combine like terms: 47 + -47 = 0 0 + -11x = -5 + -47 -11x = -5 + -47 Combine like terms: -5 + -47 = -52 -11x = -52 Divide each side by '-11'. x = 4.727272727 Simplifying x = 4.727272727
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