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Simplifying 5x + -1(8 + -1x) = 2[-4 + -1(3 + 5x + -13)] 5x + (8 * -1 + -1x * -1) = 2[-4 + -1(3 + 5x + -13)] 5x + (-8 + 1x) = 2[-4 + -1(3 + 5x + -13)] Reorder the terms: -8 + 5x + 1x = 2[-4 + -1(3 + 5x + -13)] Combine like terms: 5x + 1x = 6x -8 + 6x = 2[-4 + -1(3 + 5x + -13)] Reorder the terms: -8 + 6x = 2[-4 + -1(3 + -13 + 5x)] Combine like terms: 3 + -13 = -10 -8 + 6x = 2[-4 + -1(-10 + 5x)] -8 + 6x = 2[-4 + (-10 * -1 + 5x * -1)] -8 + 6x = 2[-4 + (10 + -5x)] Combine like terms: -4 + 10 = 6 -8 + 6x = 2[6 + -5x] -8 + 6x = [6 * 2 + -5x * 2] -8 + 6x = [12 + -10x] Solving -8 + 6x = 12 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -8 + 6x + 10x = 12 + -10x + 10x Combine like terms: 6x + 10x = 16x -8 + 16x = 12 + -10x + 10x Combine like terms: -10x + 10x = 0 -8 + 16x = 12 + 0 -8 + 16x = 12 Add '8' to each side of the equation. -8 + 8 + 16x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 16x = 12 + 8 16x = 12 + 8 Combine like terms: 12 + 8 = 20 16x = 20 Divide each side by '16'. x = 1.25 Simplifying x = 1.25
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