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Simplifying (c + d) * x + -1(e + -1f) * x = cx + dx + -1ex + fx Reorder the terms for easier multiplication: x(c + d) + -1(e + -1f) * x = cx + dx + -1ex + fx (c * x + d * x) + -1(e + -1f) * x = cx + dx + -1ex + fx (cx + dx) + -1(e + -1f) * x = cx + dx + -1ex + fx Reorder the terms for easier multiplication: cx + dx + -1x(e + -1f) = cx + dx + -1ex + fx cx + dx + (e * -1x + -1f * -1x) = cx + dx + -1ex + fx cx + dx + (-1ex + 1fx) = cx + dx + -1ex + fx Add '-1cx' to each side of the equation. cx + dx + -1ex + -1cx + 1fx = cx + dx + -1ex + -1cx + fx Reorder the terms: cx + -1cx + dx + -1ex + 1fx = cx + dx + -1ex + -1cx + fx Combine like terms: cx + -1cx = 0 0 + dx + -1ex + 1fx = cx + dx + -1ex + -1cx + fx dx + -1ex + 1fx = cx + dx + -1ex + -1cx + fx Reorder the terms: dx + -1ex + 1fx = cx + -1cx + dx + -1ex + fx Combine like terms: cx + -1cx = 0 dx + -1ex + 1fx = 0 + dx + -1ex + fx dx + -1ex + 1fx = dx + -1ex + fx Add '-1dx' to each side of the equation. dx + -1ex + -1dx + 1fx = dx + -1ex + -1dx + fx Reorder the terms: dx + -1dx + -1ex + 1fx = dx + -1ex + -1dx + fx Combine like terms: dx + -1dx = 0 0 + -1ex + 1fx = dx + -1ex + -1dx + fx -1ex + 1fx = dx + -1ex + -1dx + fx Reorder the terms: -1ex + 1fx = dx + -1dx + -1ex + fx Combine like terms: dx + -1dx = 0 -1ex + 1fx = 0 + -1ex + fx -1ex + 1fx = -1ex + fx Add 'ex' to each side of the equation. -1ex + ex + 1fx = -1ex + ex + fx Combine like terms: -1ex + ex = 0 0 + 1fx = -1ex + ex + fx 1fx = -1ex + ex + fx Combine like terms: -1ex + ex = 0 1fx = 0 + fx 1fx = fx Solving 1fx = fx Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-1fx' to each side of the equation. 1fx + -1fx = fx + -1fx Combine like terms: 1fx + -1fx = 0 0 = fx + -1fx Combine like terms: fx + -1fx = 0 0 = 0 Simplifying 0 = 0 The solution to this equation could not be determined.
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