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Simplifying 9(x + 5) + -7x = 97 Reorder the terms: 9(5 + x) + -7x = 97 (5 * 9 + x * 9) + -7x = 97 (45 + 9x) + -7x = 97 Combine like terms: 9x + -7x = 2x 45 + 2x = 97 Solving 45 + 2x = 97 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 2x = 97 + -45 Combine like terms: 45 + -45 = 0 0 + 2x = 97 + -45 2x = 97 + -45 Combine like terms: 97 + -45 = 52 2x = 52 Divide each side by '2'. x = 26 Simplifying x = 26
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