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Simplifying -1[7x + (4x + 5)] = 9(-9x + 3) Reorder the terms: -1[7x + (5 + 4x)] = 9(-9x + 3) Remove parenthesis around (5 + 4x) -1[7x + 5 + 4x] = 9(-9x + 3) Reorder the terms: -1[5 + 7x + 4x] = 9(-9x + 3) Combine like terms: 7x + 4x = 11x -1[5 + 11x] = 9(-9x + 3) [5 * -1 + 11x * -1] = 9(-9x + 3) [-5 + -11x] = 9(-9x + 3) Reorder the terms: -5 + -11x = 9(3 + -9x) -5 + -11x = (3 * 9 + -9x * 9) -5 + -11x = (27 + -81x) Solving -5 + -11x = 27 + -81x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '81x' to each side of the equation. -5 + -11x + 81x = 27 + -81x + 81x Combine like terms: -11x + 81x = 70x -5 + 70x = 27 + -81x + 81x Combine like terms: -81x + 81x = 0 -5 + 70x = 27 + 0 -5 + 70x = 27 Add '5' to each side of the equation. -5 + 5 + 70x = 27 + 5 Combine like terms: -5 + 5 = 0 0 + 70x = 27 + 5 70x = 27 + 5 Combine like terms: 27 + 5 = 32 70x = 32 Divide each side by '70'. x = 0.4571428571 Simplifying x = 0.4571428571
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