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Simplifying 4x + -1(3 + -1x) = 2[8 + -1(3 + 2x + -5)] 4x + (3 * -1 + -1x * -1) = 2[8 + -1(3 + 2x + -5)] 4x + (-3 + 1x) = 2[8 + -1(3 + 2x + -5)] Reorder the terms: -3 + 4x + 1x = 2[8 + -1(3 + 2x + -5)] Combine like terms: 4x + 1x = 5x -3 + 5x = 2[8 + -1(3 + 2x + -5)] Reorder the terms: -3 + 5x = 2[8 + -1(3 + -5 + 2x)] Combine like terms: 3 + -5 = -2 -3 + 5x = 2[8 + -1(-2 + 2x)] -3 + 5x = 2[8 + (-2 * -1 + 2x * -1)] -3 + 5x = 2[8 + (2 + -2x)] Combine like terms: 8 + 2 = 10 -3 + 5x = 2[10 + -2x] -3 + 5x = [10 * 2 + -2x * 2] -3 + 5x = [20 + -4x] Solving -3 + 5x = 20 + -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. -3 + 5x + 4x = 20 + -4x + 4x Combine like terms: 5x + 4x = 9x -3 + 9x = 20 + -4x + 4x Combine like terms: -4x + 4x = 0 -3 + 9x = 20 + 0 -3 + 9x = 20 Add '3' to each side of the equation. -3 + 3 + 9x = 20 + 3 Combine like terms: -3 + 3 = 0 0 + 9x = 20 + 3 9x = 20 + 3 Combine like terms: 20 + 3 = 23 9x = 23 Divide each side by '9'. x = 2.555555556 Simplifying x = 2.555555556
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