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Simplifying 5f + -7g + -3f + -12g + 4x = 0 Reorder the terms: 5f + -3f + -7g + -12g + 4x = 0 Combine like terms: 5f + -3f = 2f 2f + -7g + -12g + 4x = 0 Combine like terms: -7g + -12g = -19g 2f + -19g + 4x = 0 Solving 2f + -19g + 4x = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '19g' to each side of the equation. 2f + -19g + 19g + 4x = 0 + 19g Combine like terms: -19g + 19g = 0 2f + 0 + 4x = 0 + 19g 2f + 4x = 0 + 19g Remove the zero: 2f + 4x = 19g Add '-4x' to each side of the equation. 2f + 4x + -4x = 19g + -4x Combine like terms: 4x + -4x = 0 2f + 0 = 19g + -4x 2f = 19g + -4x Divide each side by '2'. f = 9.5g + -2x Simplifying f = 9.5g + -2x
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