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Simplifying 4x + 2[3(x + -1) + 2] = 8 Reorder the terms: 4x + 2[3(-1 + x) + 2] = 8 4x + 2[(-1 * 3 + x * 3) + 2] = 8 4x + 2[(-3 + 3x) + 2] = 8 Reorder the terms: 4x + 2[-3 + 2 + 3x] = 8 Combine like terms: -3 + 2 = -1 4x + 2[-1 + 3x] = 8 4x + [-1 * 2 + 3x * 2] = 8 4x + [-2 + 6x] = 8 Reorder the terms: -2 + 4x + 6x = 8 Combine like terms: 4x + 6x = 10x -2 + 10x = 8 Solving -2 + 10x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 10x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 10x = 8 + 2 10x = 8 + 2 Combine like terms: 8 + 2 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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