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Simplifying 5u + -4x = 3u + 5 + 7x Reorder the terms: 5u + -4x = 5 + 3u + 7x Solving 5u + -4x = 5 + 3u + 7x Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. 5u + -3u + -4x = 5 + 3u + -3u + 7x Combine like terms: 5u + -3u = 2u 2u + -4x = 5 + 3u + -3u + 7x Combine like terms: 3u + -3u = 0 2u + -4x = 5 + 0 + 7x 2u + -4x = 5 + 7x Add '4x' to each side of the equation. 2u + -4x + 4x = 5 + 7x + 4x Combine like terms: -4x + 4x = 0 2u + 0 = 5 + 7x + 4x 2u = 5 + 7x + 4x Combine like terms: 7x + 4x = 11x 2u = 5 + 11x Divide each side by '2'. u = 2.5 + 5.5x Simplifying u = 2.5 + 5.5x
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