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Simplifying -1[9x + (5x + 7)] = 7 + -1(3x + 8) Reorder the terms: -1[9x + (7 + 5x)] = 7 + -1(3x + 8) Remove parenthesis around (7 + 5x) -1[9x + 7 + 5x] = 7 + -1(3x + 8) Reorder the terms: -1[7 + 9x + 5x] = 7 + -1(3x + 8) Combine like terms: 9x + 5x = 14x -1[7 + 14x] = 7 + -1(3x + 8) [7 * -1 + 14x * -1] = 7 + -1(3x + 8) [-7 + -14x] = 7 + -1(3x + 8) Reorder the terms: -7 + -14x = 7 + -1(8 + 3x) -7 + -14x = 7 + (8 * -1 + 3x * -1) -7 + -14x = 7 + (-8 + -3x) Combine like terms: 7 + -8 = -1 -7 + -14x = -1 + -3x Solving -7 + -14x = -1 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -7 + -14x + 3x = -1 + -3x + 3x Combine like terms: -14x + 3x = -11x -7 + -11x = -1 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + -11x = -1 + 0 -7 + -11x = -1 Add '7' to each side of the equation. -7 + 7 + -11x = -1 + 7 Combine like terms: -7 + 7 = 0 0 + -11x = -1 + 7 -11x = -1 + 7 Combine like terms: -1 + 7 = 6 -11x = 6 Divide each side by '-11'. x = -0.5454545455 Simplifying x = -0.5454545455
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