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Simplifying 4u + (2x + u) + 7x + 2(5u + -1x) = 0 Reorder the terms: 4u + (u + 2x) + 7x + 2(5u + -1x) = 0 Remove parenthesis around (u + 2x) 4u + u + 2x + 7x + 2(5u + -1x) = 0 4u + u + 2x + 7x + (5u * 2 + -1x * 2) = 0 4u + u + 2x + 7x + (10u + -2x) = 0 Reorder the terms: 4u + u + 10u + 2x + 7x + -2x = 0 Combine like terms: 4u + u = 5u 5u + 10u + 2x + 7x + -2x = 0 Combine like terms: 5u + 10u = 15u 15u + 2x + 7x + -2x = 0 Combine like terms: 2x + 7x = 9x 15u + 9x + -2x = 0 Combine like terms: 9x + -2x = 7x 15u + 7x = 0 Solving 15u + 7x = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7x' to each side of the equation. 15u + 7x + -7x = 0 + -7x Combine like terms: 7x + -7x = 0 15u + 0 = 0 + -7x 15u = 0 + -7x Remove the zero: 15u = -7x Divide each side by '15'. u = -0.4666666667x Simplifying u = -0.4666666667x
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