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Simplifying 2x + 7f + -9x + 21g + 5x = 0 Reorder the terms: 7f + 21g + 2x + -9x + 5x = 0 Combine like terms: 2x + -9x = -7x 7f + 21g + -7x + 5x = 0 Combine like terms: -7x + 5x = -2x 7f + 21g + -2x = 0 Solving 7f + 21g + -2x = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-21g' to each side of the equation. 7f + 21g + -21g + -2x = 0 + -21g Combine like terms: 21g + -21g = 0 7f + 0 + -2x = 0 + -21g 7f + -2x = 0 + -21g Remove the zero: 7f + -2x = -21g Add '2x' to each side of the equation. 7f + -2x + 2x = -21g + 2x Combine like terms: -2x + 2x = 0 7f + 0 = -21g + 2x 7f = -21g + 2x Divide each side by '7'. f = -3g + 0.2857142857x Simplifying f = -3g + 0.2857142857x
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