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Simplifying 5(2 + u) + -1x = 10 + 4(x + 1) (2 * 5 + u * 5) + -1x = 10 + 4(x + 1) (10 + 5u) + -1x = 10 + 4(x + 1) Reorder the terms: 10 + 5u + -1x = 10 + 4(1 + x) 10 + 5u + -1x = 10 + (1 * 4 + x * 4) 10 + 5u + -1x = 10 + (4 + 4x) Combine like terms: 10 + 4 = 14 10 + 5u + -1x = 14 + 4x Solving 10 + 5u + -1x = 14 + 4x Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 5u + -10 + -1x = 14 + -10 + 4x Reorder the terms: 10 + -10 + 5u + -1x = 14 + -10 + 4x Combine like terms: 10 + -10 = 0 0 + 5u + -1x = 14 + -10 + 4x 5u + -1x = 14 + -10 + 4x Combine like terms: 14 + -10 = 4 5u + -1x = 4 + 4x Add 'x' to each side of the equation. 5u + -1x + x = 4 + 4x + x Combine like terms: -1x + x = 0 5u + 0 = 4 + 4x + x 5u = 4 + 4x + x Combine like terms: 4x + x = 5x 5u = 4 + 5x Divide each side by '5'. u = 0.8 + x Simplifying u = 0.8 + x
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