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Simplifying (3x + 8) + (2x + -5) = 33 Reorder the terms: (8 + 3x) + (2x + -5) = 33 Remove parenthesis around (8 + 3x) 8 + 3x + (2x + -5) = 33 Reorder the terms: 8 + 3x + (-5 + 2x) = 33 Remove parenthesis around (-5 + 2x) 8 + 3x + -5 + 2x = 33 Reorder the terms: 8 + -5 + 3x + 2x = 33 Combine like terms: 8 + -5 = 3 3 + 3x + 2x = 33 Combine like terms: 3x + 2x = 5x 3 + 5x = 33 Solving 3 + 5x = 33 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 + 5x = 33 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 33 + -3 5x = 33 + -3 Combine like terms: 33 + -3 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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