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Simplifying -1[8x + (5x + 7)] = 9 + -1(4x + 6) Reorder the terms: -1[8x + (7 + 5x)] = 9 + -1(4x + 6) Remove parenthesis around (7 + 5x) -1[8x + 7 + 5x] = 9 + -1(4x + 6) Reorder the terms: -1[7 + 8x + 5x] = 9 + -1(4x + 6) Combine like terms: 8x + 5x = 13x -1[7 + 13x] = 9 + -1(4x + 6) [7 * -1 + 13x * -1] = 9 + -1(4x + 6) [-7 + -13x] = 9 + -1(4x + 6) Reorder the terms: -7 + -13x = 9 + -1(6 + 4x) -7 + -13x = 9 + (6 * -1 + 4x * -1) -7 + -13x = 9 + (-6 + -4x) Combine like terms: 9 + -6 = 3 -7 + -13x = 3 + -4x Solving -7 + -13x = 3 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -7 + -13x + 4x = 3 + -4x + 4x Combine like terms: -13x + 4x = -9x -7 + -9x = 3 + -4x + 4x Combine like terms: -4x + 4x = 0 -7 + -9x = 3 + 0 -7 + -9x = 3 Add '7' to each side of the equation. -7 + 7 + -9x = 3 + 7 Combine like terms: -7 + 7 = 0 0 + -9x = 3 + 7 -9x = 3 + 7 Combine like terms: 3 + 7 = 10 -9x = 10 Divide each side by '-9'. x = -1.111111111 Simplifying x = -1.111111111
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