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Simplifying 3[3(x + 4) + -2] = x + -2 Reorder the terms: 3[3(4 + x) + -2] = x + -2 3[(4 * 3 + x * 3) + -2] = x + -2 3[(12 + 3x) + -2] = x + -2 Reorder the terms: 3[12 + -2 + 3x] = x + -2 Combine like terms: 12 + -2 = 10 3[10 + 3x] = x + -2 [10 * 3 + 3x * 3] = x + -2 [30 + 9x] = x + -2 Reorder the terms: 30 + 9x = -2 + x Solving 30 + 9x = -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. 30 + 9x + -1x = -2 + x + -1x Combine like terms: 9x + -1x = 8x 30 + 8x = -2 + x + -1x Combine like terms: x + -1x = 0 30 + 8x = -2 + 0 30 + 8x = -2 Add '-30' to each side of the equation. 30 + -30 + 8x = -2 + -30 Combine like terms: 30 + -30 = 0 0 + 8x = -2 + -30 8x = -2 + -30 Combine like terms: -2 + -30 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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