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Simplifying 3x + 2[2 + 3(x + -1)] = 2(3x + 4) Reorder the terms: 3x + 2[2 + 3(-1 + x)] = 2(3x + 4) 3x + 2[2 + (-1 * 3 + x * 3)] = 2(3x + 4) 3x + 2[2 + (-3 + 3x)] = 2(3x + 4) Combine like terms: 2 + -3 = -1 3x + 2[-1 + 3x] = 2(3x + 4) 3x + [-1 * 2 + 3x * 2] = 2(3x + 4) 3x + [-2 + 6x] = 2(3x + 4) Reorder the terms: -2 + 3x + 6x = 2(3x + 4) Combine like terms: 3x + 6x = 9x -2 + 9x = 2(3x + 4) Reorder the terms: -2 + 9x = 2(4 + 3x) -2 + 9x = (4 * 2 + 3x * 2) -2 + 9x = (8 + 6x) Solving -2 + 9x = 8 + 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. -2 + 9x + -6x = 8 + 6x + -6x Combine like terms: 9x + -6x = 3x -2 + 3x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + 3x = 8 + 0 -2 + 3x = 8 Add '2' to each side of the equation. -2 + 2 + 3x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 8 + 2 3x = 8 + 2 Combine like terms: 8 + 2 = 10 3x = 10 Divide each side by '3'. x = 3.333333333 Simplifying x = 3.333333333
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