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Simplifying 3[4(x + 4) + -2] = x + -2 Reorder the terms: 3[4(4 + x) + -2] = x + -2 3[(4 * 4 + x * 4) + -2] = x + -2 3[(16 + 4x) + -2] = x + -2 Reorder the terms: 3[16 + -2 + 4x] = x + -2 Combine like terms: 16 + -2 = 14 3[14 + 4x] = x + -2 [14 * 3 + 4x * 3] = x + -2 [42 + 12x] = x + -2 Reorder the terms: 42 + 12x = -2 + x Solving 42 + 12x = -2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 42 + 12x + -1x = -2 + x + -1x Combine like terms: 12x + -1x = 11x 42 + 11x = -2 + x + -1x Combine like terms: x + -1x = 0 42 + 11x = -2 + 0 42 + 11x = -2 Add '-42' to each side of the equation. 42 + -42 + 11x = -2 + -42 Combine like terms: 42 + -42 = 0 0 + 11x = -2 + -42 11x = -2 + -42 Combine like terms: -2 + -42 = -44 11x = -44 Divide each side by '11'. x = -4 Simplifying x = -4
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