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Simplifying 7x + 5(-3x + 5) = 97 Reorder the terms: 7x + 5(5 + -3x) = 97 7x + (5 * 5 + -3x * 5) = 97 7x + (25 + -15x) = 97 Reorder the terms: 25 + 7x + -15x = 97 Combine like terms: 7x + -15x = -8x 25 + -8x = 97 Solving 25 + -8x = 97 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -8x = 97 + -25 Combine like terms: 25 + -25 = 0 0 + -8x = 97 + -25 -8x = 97 + -25 Combine like terms: 97 + -25 = 72 -8x = 72 Divide each side by '-8'. x = -9 Simplifying x = -9
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