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Simplifying 3[2(x + 4) + -2] = x + -2 Reorder the terms: 3[2(4 + x) + -2] = x + -2 3[(4 * 2 + x * 2) + -2] = x + -2 3[(8 + 2x) + -2] = x + -2 Reorder the terms: 3[8 + -2 + 2x] = x + -2 Combine like terms: 8 + -2 = 6 3[6 + 2x] = x + -2 [6 * 3 + 2x * 3] = x + -2 [18 + 6x] = x + -2 Reorder the terms: 18 + 6x = -2 + x Solving 18 + 6x = -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. 18 + 6x + -1x = -2 + x + -1x Combine like terms: 6x + -1x = 5x 18 + 5x = -2 + x + -1x Combine like terms: x + -1x = 0 18 + 5x = -2 + 0 18 + 5x = -2 Add '-18' to each side of the equation. 18 + -18 + 5x = -2 + -18 Combine like terms: 18 + -18 = 0 0 + 5x = -2 + -18 5x = -2 + -18 Combine like terms: -2 + -18 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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