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Simplifying 3[2 + -4(x + -1)] = 3 + -4(x + 2) Reorder the terms: 3[2 + -4(-1 + x)] = 3 + -4(x + 2) 3[2 + (-1 * -4 + x * -4)] = 3 + -4(x + 2) 3[2 + (4 + -4x)] = 3 + -4(x + 2) Combine like terms: 2 + 4 = 6 3[6 + -4x] = 3 + -4(x + 2) [6 * 3 + -4x * 3] = 3 + -4(x + 2) [18 + -12x] = 3 + -4(x + 2) Reorder the terms: 18 + -12x = 3 + -4(2 + x) 18 + -12x = 3 + (2 * -4 + x * -4) 18 + -12x = 3 + (-8 + -4x) Combine like terms: 3 + -8 = -5 18 + -12x = -5 + -4x Solving 18 + -12x = -5 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 18 + -12x + 4x = -5 + -4x + 4x Combine like terms: -12x + 4x = -8x 18 + -8x = -5 + -4x + 4x Combine like terms: -4x + 4x = 0 18 + -8x = -5 + 0 18 + -8x = -5 Add '-18' to each side of the equation. 18 + -18 + -8x = -5 + -18 Combine like terms: 18 + -18 = 0 0 + -8x = -5 + -18 -8x = -5 + -18 Combine like terms: -5 + -18 = -23 -8x = -23 Divide each side by '-8'. x = 2.875 Simplifying x = 2.875
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