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Simplifying (2x + 1) + (2x + 1) + (2x + 1) + (2x + 1) + (2x + 1) = 45 Reorder the terms: (1 + 2x) + (2x + 1) + (2x + 1) + (2x + 1) + (2x + 1) = 45 Remove parenthesis around (1 + 2x) 1 + 2x + (2x + 1) + (2x + 1) + (2x + 1) + (2x + 1) = 45 Reorder the terms: 1 + 2x + (1 + 2x) + (2x + 1) + (2x + 1) + (2x + 1) = 45 Remove parenthesis around (1 + 2x) 1 + 2x + 1 + 2x + (2x + 1) + (2x + 1) + (2x + 1) = 45 Reorder the terms: 1 + 2x + 1 + 2x + (1 + 2x) + (2x + 1) + (2x + 1) = 45 Remove parenthesis around (1 + 2x) 1 + 2x + 1 + 2x + 1 + 2x + (2x + 1) + (2x + 1) = 45 Reorder the terms: 1 + 2x + 1 + 2x + 1 + 2x + (1 + 2x) + (2x + 1) = 45 Remove parenthesis around (1 + 2x) 1 + 2x + 1 + 2x + 1 + 2x + 1 + 2x + (2x + 1) = 45 Reorder the terms: 1 + 2x + 1 + 2x + 1 + 2x + 1 + 2x + (1 + 2x) = 45 Remove parenthesis around (1 + 2x) 1 + 2x + 1 + 2x + 1 + 2x + 1 + 2x + 1 + 2x = 45 Reorder the terms: 1 + 1 + 1 + 1 + 1 + 2x + 2x + 2x + 2x + 2x = 45 Combine like terms: 1 + 1 = 2 2 + 1 + 1 + 1 + 2x + 2x + 2x + 2x + 2x = 45 Combine like terms: 2 + 1 = 3 3 + 1 + 1 + 2x + 2x + 2x + 2x + 2x = 45 Combine like terms: 3 + 1 = 4 4 + 1 + 2x + 2x + 2x + 2x + 2x = 45 Combine like terms: 4 + 1 = 5 5 + 2x + 2x + 2x + 2x + 2x = 45 Combine like terms: 2x + 2x = 4x 5 + 4x + 2x + 2x + 2x = 45 Combine like terms: 4x + 2x = 6x 5 + 6x + 2x + 2x = 45 Combine like terms: 6x + 2x = 8x 5 + 8x + 2x = 45 Combine like terms: 8x + 2x = 10x 5 + 10x = 45 Solving 5 + 10x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 10x = 45 + -5 Combine like terms: 5 + -5 = 0 0 + 10x = 45 + -5 10x = 45 + -5 Combine like terms: 45 + -5 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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