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Simplifying 7 + 5[1 + 2(2x + -5)] = 6(x + 7) Reorder the terms: 7 + 5[1 + 2(-5 + 2x)] = 6(x + 7) 7 + 5[1 + (-5 * 2 + 2x * 2)] = 6(x + 7) 7 + 5[1 + (-10 + 4x)] = 6(x + 7) Combine like terms: 1 + -10 = -9 7 + 5[-9 + 4x] = 6(x + 7) 7 + [-9 * 5 + 4x * 5] = 6(x + 7) 7 + [-45 + 20x] = 6(x + 7) Combine like terms: 7 + -45 = -38 -38 + 20x = 6(x + 7) Reorder the terms: -38 + 20x = 6(7 + x) -38 + 20x = (7 * 6 + x * 6) -38 + 20x = (42 + 6x) Solving -38 + 20x = 42 + 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. -38 + 20x + -6x = 42 + 6x + -6x Combine like terms: 20x + -6x = 14x -38 + 14x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 -38 + 14x = 42 + 0 -38 + 14x = 42 Add '38' to each side of the equation. -38 + 38 + 14x = 42 + 38 Combine like terms: -38 + 38 = 0 0 + 14x = 42 + 38 14x = 42 + 38 Combine like terms: 42 + 38 = 80 14x = 80 Divide each side by '14'. x = 5.714285714 Simplifying x = 5.714285714
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