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Simplifying 97 = 7x + 5(5 + x) 97 = 7x + (5 * 5 + x * 5) 97 = 7x + (25 + 5x) Reorder the terms: 97 = 25 + 7x + 5x Combine like terms: 7x + 5x = 12x 97 = 25 + 12x Solving 97 = 25 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 97 + -12x = 25 + 12x + -12x Combine like terms: 12x + -12x = 0 97 + -12x = 25 + 0 97 + -12x = 25 Add '-97' to each side of the equation. 97 + -97 + -12x = 25 + -97 Combine like terms: 97 + -97 = 0 0 + -12x = 25 + -97 -12x = 25 + -97 Combine like terms: 25 + -97 = -72 -12x = -72 Divide each side by '-12'. x = 6 Simplifying x = 6
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