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Simplifying (3x + 2) + (4x + -5) = 39 Reorder the terms: (2 + 3x) + (4x + -5) = 39 Remove parenthesis around (2 + 3x) 2 + 3x + (4x + -5) = 39 Reorder the terms: 2 + 3x + (-5 + 4x) = 39 Remove parenthesis around (-5 + 4x) 2 + 3x + -5 + 4x = 39 Reorder the terms: 2 + -5 + 3x + 4x = 39 Combine like terms: 2 + -5 = -3 -3 + 3x + 4x = 39 Combine like terms: 3x + 4x = 7x -3 + 7x = 39 Solving -3 + 7x = 39 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 7x = 39 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = 39 + 3 7x = 39 + 3 Combine like terms: 39 + 3 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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