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Simplifying (2x + 5) + (2x + 4) = 45 Reorder the terms: (5 + 2x) + (2x + 4) = 45 Remove parenthesis around (5 + 2x) 5 + 2x + (2x + 4) = 45 Reorder the terms: 5 + 2x + (4 + 2x) = 45 Remove parenthesis around (4 + 2x) 5 + 2x + 4 + 2x = 45 Reorder the terms: 5 + 4 + 2x + 2x = 45 Combine like terms: 5 + 4 = 9 9 + 2x + 2x = 45 Combine like terms: 2x + 2x = 4x 9 + 4x = 45 Solving 9 + 4x = 45 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 + 4x = 45 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 45 + -9 4x = 45 + -9 Combine like terms: 45 + -9 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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