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Simplifying (2x + 1) + (3x + -2) = 38 Reorder the terms: (1 + 2x) + (3x + -2) = 38 Remove parenthesis around (1 + 2x) 1 + 2x + (3x + -2) = 38 Reorder the terms: 1 + 2x + (-2 + 3x) = 38 Remove parenthesis around (-2 + 3x) 1 + 2x + -2 + 3x = 38 Reorder the terms: 1 + -2 + 2x + 3x = 38 Combine like terms: 1 + -2 = -1 -1 + 2x + 3x = 38 Combine like terms: 2x + 3x = 5x -1 + 5x = 38 Solving -1 + 5x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5x = 38 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 38 + 1 5x = 38 + 1 Combine like terms: 38 + 1 = 39 5x = 39 Divide each side by '5'. x = 7.8 Simplifying x = 7.8
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