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Simplifying 7x + 5(x + -7) = 97 Reorder the terms: 7x + 5(-7 + x) = 97 7x + (-7 * 5 + x * 5) = 97 7x + (-35 + 5x) = 97 Reorder the terms: -35 + 7x + 5x = 97 Combine like terms: 7x + 5x = 12x -35 + 12x = 97 Solving -35 + 12x = 97 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 12x = 97 + 35 Combine like terms: -35 + 35 = 0 0 + 12x = 97 + 35 12x = 97 + 35 Combine like terms: 97 + 35 = 132 12x = 132 Divide each side by '12'. x = 11 Simplifying x = 11
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