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Simplifying 3[6(x + 4) + -2] = x + -2 Reorder the terms: 3[6(4 + x) + -2] = x + -2 3[(4 * 6 + x * 6) + -2] = x + -2 3[(24 + 6x) + -2] = x + -2 Reorder the terms: 3[24 + -2 + 6x] = x + -2 Combine like terms: 24 + -2 = 22 3[22 + 6x] = x + -2 [22 * 3 + 6x * 3] = x + -2 [66 + 18x] = x + -2 Reorder the terms: 66 + 18x = -2 + x Solving 66 + 18x = -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. 66 + 18x + -1x = -2 + x + -1x Combine like terms: 18x + -1x = 17x 66 + 17x = -2 + x + -1x Combine like terms: x + -1x = 0 66 + 17x = -2 + 0 66 + 17x = -2 Add '-66' to each side of the equation. 66 + -66 + 17x = -2 + -66 Combine like terms: 66 + -66 = 0 0 + 17x = -2 + -66 17x = -2 + -66 Combine like terms: -2 + -66 = -68 17x = -68 Divide each side by '17'. x = -4 Simplifying x = -4
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