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Simplifying 5x + -1(3 + -1x) = 8[9 + -1(7 + 6x + -8)] 5x + (3 * -1 + -1x * -1) = 8[9 + -1(7 + 6x + -8)] 5x + (-3 + 1x) = 8[9 + -1(7 + 6x + -8)] Reorder the terms: -3 + 5x + 1x = 8[9 + -1(7 + 6x + -8)] Combine like terms: 5x + 1x = 6x -3 + 6x = 8[9 + -1(7 + 6x + -8)] Reorder the terms: -3 + 6x = 8[9 + -1(7 + -8 + 6x)] Combine like terms: 7 + -8 = -1 -3 + 6x = 8[9 + -1(-1 + 6x)] -3 + 6x = 8[9 + (-1 * -1 + 6x * -1)] -3 + 6x = 8[9 + (1 + -6x)] Combine like terms: 9 + 1 = 10 -3 + 6x = 8[10 + -6x] -3 + 6x = [10 * 8 + -6x * 8] -3 + 6x = [80 + -48x] Solving -3 + 6x = 80 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. -3 + 6x + 48x = 80 + -48x + 48x Combine like terms: 6x + 48x = 54x -3 + 54x = 80 + -48x + 48x Combine like terms: -48x + 48x = 0 -3 + 54x = 80 + 0 -3 + 54x = 80 Add '3' to each side of the equation. -3 + 3 + 54x = 80 + 3 Combine like terms: -3 + 3 = 0 0 + 54x = 80 + 3 54x = 80 + 3 Combine like terms: 80 + 3 = 83 54x = 83 Divide each side by '54'. x = 1.537037037 Simplifying x = 1.537037037
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