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Simplifying 2x + 5(2x + 5) = 109 Reorder the terms: 2x + 5(5 + 2x) = 109 2x + (5 * 5 + 2x * 5) = 109 2x + (25 + 10x) = 109 Reorder the terms: 25 + 2x + 10x = 109 Combine like terms: 2x + 10x = 12x 25 + 12x = 109 Solving 25 + 12x = 109 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 12x = 109 + -25 Combine like terms: 25 + -25 = 0 0 + 12x = 109 + -25 12x = 109 + -25 Combine like terms: 109 + -25 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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