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Simplifying 3[2 + -4(x + -1)] = 3(2x + 8) Reorder the terms: 3[2 + -4(-1 + x)] = 3(2x + 8) 3[2 + (-1 * -4 + x * -4)] = 3(2x + 8) 3[2 + (4 + -4x)] = 3(2x + 8) Combine like terms: 2 + 4 = 6 3[6 + -4x] = 3(2x + 8) [6 * 3 + -4x * 3] = 3(2x + 8) [18 + -12x] = 3(2x + 8) Reorder the terms: 18 + -12x = 3(8 + 2x) 18 + -12x = (8 * 3 + 2x * 3) 18 + -12x = (24 + 6x) Solving 18 + -12x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 18 + -12x + -6x = 24 + 6x + -6x Combine like terms: -12x + -6x = -18x 18 + -18x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + -18x = 24 + 0 18 + -18x = 24 Add '-18' to each side of the equation. 18 + -18 + -18x = 24 + -18 Combine like terms: 18 + -18 = 0 0 + -18x = 24 + -18 -18x = 24 + -18 Combine like terms: 24 + -18 = 6 -18x = 6 Divide each side by '-18'. x = -0.3333333333 Simplifying x = -0.3333333333
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