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Simplifying 9 + 5[1 + 2(2x + -5)] = 6(x + 9) Reorder the terms: 9 + 5[1 + 2(-5 + 2x)] = 6(x + 9) 9 + 5[1 + (-5 * 2 + 2x * 2)] = 6(x + 9) 9 + 5[1 + (-10 + 4x)] = 6(x + 9) Combine like terms: 1 + -10 = -9 9 + 5[-9 + 4x] = 6(x + 9) 9 + [-9 * 5 + 4x * 5] = 6(x + 9) 9 + [-45 + 20x] = 6(x + 9) Combine like terms: 9 + -45 = -36 -36 + 20x = 6(x + 9) Reorder the terms: -36 + 20x = 6(9 + x) -36 + 20x = (9 * 6 + x * 6) -36 + 20x = (54 + 6x) Solving -36 + 20x = 54 + 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. -36 + 20x + -6x = 54 + 6x + -6x Combine like terms: 20x + -6x = 14x -36 + 14x = 54 + 6x + -6x Combine like terms: 6x + -6x = 0 -36 + 14x = 54 + 0 -36 + 14x = 54 Add '36' to each side of the equation. -36 + 36 + 14x = 54 + 36 Combine like terms: -36 + 36 = 0 0 + 14x = 54 + 36 14x = 54 + 36 Combine like terms: 54 + 36 = 90 14x = 90 Divide each side by '14'. x = 6.428571429 Simplifying x = 6.428571429
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