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Simplifying -1[7x + (4x + 5)] = 9 + -1(9x + 3) Reorder the terms: -1[7x + (5 + 4x)] = 9 + -1(9x + 3) Remove parenthesis around (5 + 4x) -1[7x + 5 + 4x] = 9 + -1(9x + 3) Reorder the terms: -1[5 + 7x + 4x] = 9 + -1(9x + 3) Combine like terms: 7x + 4x = 11x -1[5 + 11x] = 9 + -1(9x + 3) [5 * -1 + 11x * -1] = 9 + -1(9x + 3) [-5 + -11x] = 9 + -1(9x + 3) Reorder the terms: -5 + -11x = 9 + -1(3 + 9x) -5 + -11x = 9 + (3 * -1 + 9x * -1) -5 + -11x = 9 + (-3 + -9x) Combine like terms: 9 + -3 = 6 -5 + -11x = 6 + -9x Solving -5 + -11x = 6 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -5 + -11x + 9x = 6 + -9x + 9x Combine like terms: -11x + 9x = -2x -5 + -2x = 6 + -9x + 9x Combine like terms: -9x + 9x = 0 -5 + -2x = 6 + 0 -5 + -2x = 6 Add '5' to each side of the equation. -5 + 5 + -2x = 6 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 6 + 5 -2x = 6 + 5 Combine like terms: 6 + 5 = 11 -2x = 11 Divide each side by '-2'. x = -5.5 Simplifying x = -5.5
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