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Simplifying 2x + 5(5x + -13) = 97 Reorder the terms: 2x + 5(-13 + 5x) = 97 2x + (-13 * 5 + 5x * 5) = 97 2x + (-65 + 25x) = 97 Reorder the terms: -65 + 2x + 25x = 97 Combine like terms: 2x + 25x = 27x -65 + 27x = 97 Solving -65 + 27x = 97 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + 27x = 97 + 65 Combine like terms: -65 + 65 = 0 0 + 27x = 97 + 65 27x = 97 + 65 Combine like terms: 97 + 65 = 162 27x = 162 Divide each side by '27'. x = 6 Simplifying x = 6
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