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Simplifying 5x + 4(5x + -7) = 97 Reorder the terms: 5x + 4(-7 + 5x) = 97 5x + (-7 * 4 + 5x * 4) = 97 5x + (-28 + 20x) = 97 Reorder the terms: -28 + 5x + 20x = 97 Combine like terms: 5x + 20x = 25x -28 + 25x = 97 Solving -28 + 25x = 97 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 25x = 97 + 28 Combine like terms: -28 + 28 = 0 0 + 25x = 97 + 28 25x = 97 + 28 Combine like terms: 97 + 28 = 125 25x = 125 Divide each side by '25'. x = 5 Simplifying x = 5
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