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Simplifying (X + 6) + (2x + -1) + (5x + 4) + (4x) = 45 Reorder the terms: (6 + X) + (2x + -1) + (5x + 4) + (4x) = 45 Remove parenthesis around (6 + X) 6 + X + (2x + -1) + (5x + 4) + (4x) = 45 Reorder the terms: 6 + X + (-1 + 2x) + (5x + 4) + (4x) = 45 Remove parenthesis around (-1 + 2x) 6 + X + -1 + 2x + (5x + 4) + (4x) = 45 Reorder the terms: 6 + X + -1 + 2x + (4 + 5x) + (4x) = 45 Remove parenthesis around (4 + 5x) 6 + X + -1 + 2x + 4 + 5x + (4x) = 45 Reorder the terms: 6 + -1 + 4 + X + 2x + 5x + (4x) = 45 Combine like terms: 6 + -1 = 5 5 + 4 + X + 2x + 5x + (4x) = 45 Combine like terms: 5 + 4 = 9 9 + X + 2x + 5x + (4x) = 45 Combine like terms: 2x + 5x = 7x 9 + X + 7x + (4x) = 45 Combine like terms: 7x + (4x) = 11x 9 + X + 11x = 45 Solving 9 + X + 11x = 45 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + X + -9 + 11x = 45 + -9 Reorder the terms: 9 + -9 + X + 11x = 45 + -9 Combine like terms: 9 + -9 = 0 0 + X + 11x = 45 + -9 X + 11x = 45 + -9 Combine like terms: 45 + -9 = 36 X + 11x = 36 Add '-11x' to each side of the equation. X + 11x + -11x = 36 + -11x Combine like terms: 11x + -11x = 0 X + 0 = 36 + -11x X = 36 + -11x Simplifying X = 36 + -11x
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