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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: x + 2x = 3x 9 + 3x + 5x + 4x = 45 Combine like terms: 3x + 5x = 8x 9 + 8x + 4x = 45 Combine like terms: 8x + 4x = 12x 9 + 12x = 45 Solving 9 + 12x = 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 + -9 + 12x = 45 + -9 Combine like terms: 9 + -9 = 0 0 + 12x = 45 + -9 12x = 45 + -9 Combine like terms: 45 + -9 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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