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Simplifying (2x + 1) + (2x + 3) + (2x + 5) = 105 Reorder the terms: (1 + 2x) + (2x + 3) + (2x + 5) = 105 Remove parenthesis around (1 + 2x) 1 + 2x + (2x + 3) + (2x + 5) = 105 Reorder the terms: 1 + 2x + (3 + 2x) + (2x + 5) = 105 Remove parenthesis around (3 + 2x) 1 + 2x + 3 + 2x + (2x + 5) = 105 Reorder the terms: 1 + 2x + 3 + 2x + (5 + 2x) = 105 Remove parenthesis around (5 + 2x) 1 + 2x + 3 + 2x + 5 + 2x = 105 Reorder the terms: 1 + 3 + 5 + 2x + 2x + 2x = 105 Combine like terms: 1 + 3 = 4 4 + 5 + 2x + 2x + 2x = 105 Combine like terms: 4 + 5 = 9 9 + 2x + 2x + 2x = 105 Combine like terms: 2x + 2x = 4x 9 + 4x + 2x = 105 Combine like terms: 4x + 2x = 6x 9 + 6x = 105 Solving 9 + 6x = 105 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 6x = 105 + -9 Combine like terms: 9 + -9 = 0 0 + 6x = 105 + -9 6x = 105 + -9 Combine like terms: 105 + -9 = 96 6x = 96 Divide each side by '6'. x = 16 Simplifying x = 16
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