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Simplifying 2(x + -1) + 3[2x + -1(x + 2)] = x Reorder the terms: 2(-1 + x) + 3[2x + -1(x + 2)] = x (-1 * 2 + x * 2) + 3[2x + -1(x + 2)] = x (-2 + 2x) + 3[2x + -1(x + 2)] = x Reorder the terms: -2 + 2x + 3[2x + -1(2 + x)] = x -2 + 2x + 3[2x + (2 * -1 + x * -1)] = x -2 + 2x + 3[2x + (-2 + -1x)] = x Reorder the terms: -2 + 2x + 3[-2 + 2x + -1x] = x Combine like terms: 2x + -1x = 1x -2 + 2x + 3[-2 + 1x] = x -2 + 2x + [-2 * 3 + 1x * 3] = x -2 + 2x + [-6 + 3x] = x Reorder the terms: -2 + -6 + 2x + 3x = x Combine like terms: -2 + -6 = -8 -8 + 2x + 3x = x Combine like terms: 2x + 3x = 5x -8 + 5x = x Solving -8 + 5x = 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. -8 + 5x + -1x = x + -1x Combine like terms: 5x + -1x = 4x -8 + 4x = x + -1x Combine like terms: x + -1x = 0 -8 + 4x = 0 Add '8' to each side of the equation. -8 + 8 + 4x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 0 + 8 4x = 0 + 8 Combine like terms: 0 + 8 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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