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Simplifying (2x + 9) + (3x + -2) = 67 Reorder the terms: (9 + 2x) + (3x + -2) = 67 Remove parenthesis around (9 + 2x) 9 + 2x + (3x + -2) = 67 Reorder the terms: 9 + 2x + (-2 + 3x) = 67 Remove parenthesis around (-2 + 3x) 9 + 2x + -2 + 3x = 67 Reorder the terms: 9 + -2 + 2x + 3x = 67 Combine like terms: 9 + -2 = 7 7 + 2x + 3x = 67 Combine like terms: 2x + 3x = 5x 7 + 5x = 67 Solving 7 + 5x = 67 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5x = 67 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 67 + -7 5x = 67 + -7 Combine like terms: 67 + -7 = 60 5x = 60 Divide each side by '5'. x = 12 Simplifying x = 12
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