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Simplifying -7x + 6(7x + 13) = -97 Reorder the terms: -7x + 6(13 + 7x) = -97 -7x + (13 * 6 + 7x * 6) = -97 -7x + (78 + 42x) = -97 Reorder the terms: 78 + -7x + 42x = -97 Combine like terms: -7x + 42x = 35x 78 + 35x = -97 Solving 78 + 35x = -97 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-78' to each side of the equation. 78 + -78 + 35x = -97 + -78 Combine like terms: 78 + -78 = 0 0 + 35x = -97 + -78 35x = -97 + -78 Combine like terms: -97 + -78 = -175 35x = -175 Divide each side by '35'. x = -5 Simplifying x = -5
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