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Simplifying -2(3u + x) + 5(3x + u) = 0 (3u * -2 + x * -2) + 5(3x + u) = 0 (-6u + -2x) + 5(3x + u) = 0 Reorder the terms: -6u + -2x + 5(u + 3x) = 0 -6u + -2x + (u * 5 + 3x * 5) = 0 -6u + -2x + (5u + 15x) = 0 Reorder the terms: -6u + 5u + -2x + 15x = 0 Combine like terms: -6u + 5u = -1u -1u + -2x + 15x = 0 Combine like terms: -2x + 15x = 13x -1u + 13x = 0 Solving -1u + 13x = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-13x' to each side of the equation. -1u + 13x + -13x = 0 + -13x Combine like terms: 13x + -13x = 0 -1u + 0 = 0 + -13x -1u = 0 + -13x Remove the zero: -1u = -13x Divide each side by '-1'. u = 13x Simplifying u = 13x
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