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Simplifying 8 + 5[1 + 2(2x + -5)] = 6(x + 8) Reorder the terms: 8 + 5[1 + 2(-5 + 2x)] = 6(x + 8) 8 + 5[1 + (-5 * 2 + 2x * 2)] = 6(x + 8) 8 + 5[1 + (-10 + 4x)] = 6(x + 8) Combine like terms: 1 + -10 = -9 8 + 5[-9 + 4x] = 6(x + 8) 8 + [-9 * 5 + 4x * 5] = 6(x + 8) 8 + [-45 + 20x] = 6(x + 8) Combine like terms: 8 + -45 = -37 -37 + 20x = 6(x + 8) Reorder the terms: -37 + 20x = 6(8 + x) -37 + 20x = (8 * 6 + x * 6) -37 + 20x = (48 + 6x) Solving -37 + 20x = 48 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -37 + 20x + -6x = 48 + 6x + -6x Combine like terms: 20x + -6x = 14x -37 + 14x = 48 + 6x + -6x Combine like terms: 6x + -6x = 0 -37 + 14x = 48 + 0 -37 + 14x = 48 Add '37' to each side of the equation. -37 + 37 + 14x = 48 + 37 Combine like terms: -37 + 37 = 0 0 + 14x = 48 + 37 14x = 48 + 37 Combine like terms: 48 + 37 = 85 14x = 85 Divide each side by '14'. x = 6.071428571 Simplifying x = 6.071428571
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