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Simplifying sin(5x) = sin(8x) + -1sin(3x) Remove parenthesis around (5x) ins * 5x = sin(8x) + -1sin(3x) Reorder the terms for easier multiplication: 5ins * x = sin(8x) + -1sin(3x) Multiply ins * x 5insx = sin(8x) + -1sin(3x) Remove parenthesis around (8x) 5insx = ins * 8x + -1sin(3x) Reorder the terms for easier multiplication: 5insx = 8ins * x + -1sin(3x) Multiply ins * x 5insx = 8insx + -1sin(3x) Remove parenthesis around (3x) 5insx = 8insx + -1ins * 3x Reorder the terms for easier multiplication: 5insx = 8insx + -1 * 3ins * x Multiply -1 * 3 5insx = 8insx + -3ins * x Multiply ins * x 5insx = 8insx + -3insx Combine like terms: 8insx + -3insx = 5insx 5insx = 5insx Add '-5insx' to each side of the equation. 5insx + -5insx = 5insx + -5insx Combine like terms: 5insx + -5insx = 0 0 = 5insx + -5insx Combine like terms: 5insx + -5insx = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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