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Simplifying (2x + 1) + (3x + 6) = 42 Reorder the terms: (1 + 2x) + (3x + 6) = 42 Remove parenthesis around (1 + 2x) 1 + 2x + (3x + 6) = 42 Reorder the terms: 1 + 2x + (6 + 3x) = 42 Remove parenthesis around (6 + 3x) 1 + 2x + 6 + 3x = 42 Reorder the terms: 1 + 6 + 2x + 3x = 42 Combine like terms: 1 + 6 = 7 7 + 2x + 3x = 42 Combine like terms: 2x + 3x = 5x 7 + 5x = 42 Solving 7 + 5x = 42 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 = 42 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 42 + -7 5x = 42 + -7 Combine like terms: 42 + -7 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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