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Simplifying 1 + 3[-2 + 6(4 + -2x)] = -1(x + 3) 1 + 3[-2 + (4 * 6 + -2x * 6)] = -1(x + 3) 1 + 3[-2 + (24 + -12x)] = -1(x + 3) Combine like terms: -2 + 24 = 22 1 + 3[22 + -12x] = -1(x + 3) 1 + [22 * 3 + -12x * 3] = -1(x + 3) 1 + [66 + -36x] = -1(x + 3) Combine like terms: 1 + 66 = 67 67 + -36x = -1(x + 3) Reorder the terms: 67 + -36x = -1(3 + x) 67 + -36x = (3 * -1 + x * -1) 67 + -36x = (-3 + -1x) Solving 67 + -36x = -3 + -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. 67 + -36x + x = -3 + -1x + x Combine like terms: -36x + x = -35x 67 + -35x = -3 + -1x + x Combine like terms: -1x + x = 0 67 + -35x = -3 + 0 67 + -35x = -3 Add '-67' to each side of the equation. 67 + -67 + -35x = -3 + -67 Combine like terms: 67 + -67 = 0 0 + -35x = -3 + -67 -35x = -3 + -67 Combine like terms: -3 + -67 = -70 -35x = -70 Divide each side by '-35'. x = 2 Simplifying x = 2
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