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Simplifying 7cos2(x) + -7sin2(x) = 14cos2(x) + -7 Multiply cos2 * x 7cos2x + -7sin2(x) = 14cos2(x) + -7 Multiply in2s * x 7cos2x + -7in2sx = 14cos2(x) + -7 Multiply cos2 * x 7cos2x + -7in2sx = 14cos2x + -7 Reorder the terms: 7cos2x + -7in2sx = -7 + 14cos2x Solving 7cos2x + -7in2sx = -7 + 14cos2x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-14cos2x' to each side of the equation. 7cos2x + -14cos2x + -7in2sx = -7 + 14cos2x + -14cos2x Combine like terms: 7cos2x + -14cos2x = -7cos2x -7cos2x + -7in2sx = -7 + 14cos2x + -14cos2x Combine like terms: 14cos2x + -14cos2x = 0 -7cos2x + -7in2sx = -7 + 0 -7cos2x + -7in2sx = -7 Add '7in2sx' to each side of the equation. -7cos2x + -7in2sx + 7in2sx = -7 + 7in2sx Combine like terms: -7in2sx + 7in2sx = 0 -7cos2x + 0 = -7 + 7in2sx -7cos2x = -7 + 7in2sx Divide each side by '-7os2x'. c = o-1s-2x-1 + -1in2o-1s-1 Simplifying c = o-1s-2x-1 + -1in2o-1s-1 Reorder the terms: c = -1in2o-1s-1 + o-1s-2x-1
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