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Simplifying 2(sinx + 30) = sin(x + 30) Reorder the terms: 2(30 + insx) = sin(x + 30) (30 * 2 + insx * 2) = sin(x + 30) (60 + 2insx) = sin(x + 30) Reorder the terms: 60 + 2insx = ins(30 + x) 60 + 2insx = (30 * ins + x * ins) 60 + 2insx = (30ins + insx) Solving 60 + 2insx = 30ins + insx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-30ins' to each side of the equation. 60 + -30ins + 2insx = 30ins + -30ins + insx Combine like terms: 30ins + -30ins = 0 60 + -30ins + 2insx = 0 + insx 60 + -30ins + 2insx = insx Add '-1insx' to each side of the equation. 60 + -30ins + 2insx + -1insx = insx + -1insx Combine like terms: 2insx + -1insx = 1insx 60 + -30ins + 1insx = insx + -1insx Combine like terms: insx + -1insx = 0 60 + -30ins + 1insx = 0 Add '-60' to each side of the equation. 60 + -30ins + -60 + 1insx = 0 + -60 Reorder the terms: 60 + -60 + -30ins + 1insx = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -30ins + 1insx = 0 + -60 -30ins + 1insx = 0 + -60 Combine like terms: 0 + -60 = -60 -30ins + 1insx = -60 Reorder the terms: 60 + -30ins + 1insx = -60 + 60 Combine like terms: -60 + 60 = 0 60 + -30ins + 1insx = 0 The solution to this equation could not be determined.
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