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Simplifying F(x + 2) + -8f(x + 1) + 15f(x) = 0 Reorder the terms: F(2 + x) + -8f(x + 1) + 15f(x) = 0 (2 * F + x * F) + -8f(x + 1) + 15f(x) = 0 (2F + xF) + -8f(x + 1) + 15f(x) = 0 Reorder the terms: 2F + xF + -8f(1 + x) + 15f(x) = 0 2F + xF + (1 * -8f + x * -8f) + 15f(x) = 0 2F + xF + (-8f + -8fx) + 15f(x) = 0 Multiply f * x 2F + xF + -8f + -8fx + 15fx = 0 Reorder the terms: 2F + -8f + -8fx + 15fx + xF = 0 Combine like terms: -8fx + 15fx = 7fx 2F + -8f + 7fx + xF = 0 Solving 2F + -8f + 7fx + xF = 0 Solving for variable 'F'. Move all terms containing F to the left, all other terms to the right. Add '8f' to each side of the equation. 2F + -8f + 7fx + 8f + xF = 0 + 8f Reorder the terms: 2F + -8f + 8f + 7fx + xF = 0 + 8f Combine like terms: -8f + 8f = 0 2F + 0 + 7fx + xF = 0 + 8f 2F + 7fx + xF = 0 + 8f Remove the zero: 2F + 7fx + xF = 8f Add '-7fx' to each side of the equation. 2F + 7fx + -7fx + xF = 8f + -7fx Combine like terms: 7fx + -7fx = 0 2F + 0 + xF = 8f + -7fx 2F + xF = 8f + -7fx Reorder the terms: 2F + -8f + 7fx + xF = 8f + -7fx + -8f + 7fx Reorder the terms: 2F + -8f + 7fx + xF = 8f + -8f + -7fx + 7fx Combine like terms: 8f + -8f = 0 2F + -8f + 7fx + xF = 0 + -7fx + 7fx 2F + -8f + 7fx + xF = -7fx + 7fx Combine like terms: -7fx + 7fx = 0 2F + -8f + 7fx + xF = 0 The solution to this equation could not be determined.
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