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Simplifying F(x + h) + -1f(x) = 0 Reorder the terms: F(h + x) + -1f(x) = 0 (h * F + x * F) + -1f(x) = 0 (hF + xF) + -1f(x) = 0 Multiply f * x hF + xF + -1fx = 0 Reorder the terms: -1fx + hF + xF = 0 Solving -1fx + hF + xF = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-1hF' to each side of the equation. -1fx + hF + -1hF + xF = 0 + -1hF Combine like terms: hF + -1hF = 0 -1fx + 0 + xF = 0 + -1hF -1fx + xF = 0 + -1hF Remove the zero: -1fx + xF = -1hF Add '-1xF' to each side of the equation. -1fx + xF + -1xF = -1hF + -1xF Combine like terms: xF + -1xF = 0 -1fx + 0 = -1hF + -1xF -1fx = -1hF + -1xF Divide each side by '-1x'. f = hx-1F + F Simplifying f = hx-1F + F Reorder the terms: f = F + hx-1F
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