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Simplifying (X + -8)(7 + -1sinx) + 7 + -1sinx = 0 Reorder the terms: (-8 + X)(7 + -1sinx) + 7 + -1sinx = 0 Multiply (-8 + X) * (7 + -1insx) (-8(7 + -1insx) + X(7 + -1insx)) + 7 + -1sinx = 0 ((7 * -8 + -1insx * -8) + X(7 + -1insx)) + 7 + -1sinx = 0 ((-56 + 8insx) + X(7 + -1insx)) + 7 + -1sinx = 0 (-56 + 8insx + (7 * X + -1insx * X)) + 7 + -1sinx = 0 (-56 + 8insx + (7X + -1insxX)) + 7 + -1sinx = 0 Reorder the terms: (-56 + 7X + 8insx + -1insxX) + 7 + -1sinx = 0 (-56 + 7X + 8insx + -1insxX) + 7 + -1sinx = 0 Reorder the terms: -56 + 7 + 7X + 8insx + -1insx + -1insxX = 0 Combine like terms: -56 + 7 = -49 -49 + 7X + 8insx + -1insx + -1insxX = 0 Combine like terms: 8insx + -1insx = 7insx -49 + 7X + 7insx + -1insxX = 0 Solving -49 + 7X + 7insx + -1insxX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 7X + 7insx + 49 + -1insxX = 0 + 49 Reorder the terms: -49 + 49 + 7X + 7insx + -1insxX = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 7X + 7insx + -1insxX = 0 + 49 7X + 7insx + -1insxX = 0 + 49 Combine like terms: 0 + 49 = 49 7X + 7insx + -1insxX = 49 Add '-7insx' to each side of the equation. 7X + 7insx + -7insx + -1insxX = 49 + -7insx Combine like terms: 7insx + -7insx = 0 7X + 0 + -1insxX = 49 + -7insx 7X + -1insxX = 49 + -7insx Reorder the terms: -49 + 7X + 7insx + -1insxX = 49 + -7insx + -49 + 7insx Reorder the terms: -49 + 7X + 7insx + -1insxX = 49 + -49 + -7insx + 7insx Combine like terms: 49 + -49 = 0 -49 + 7X + 7insx + -1insxX = 0 + -7insx + 7insx -49 + 7X + 7insx + -1insxX = -7insx + 7insx Combine like terms: -7insx + 7insx = 0 -49 + 7X + 7insx + -1insxX = 0 The solution to this equation could not be determined.
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