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