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Simplifying 97 = -5x + 6(-2x + 36) Reorder the terms: 97 = -5x + 6(36 + -2x) 97 = -5x + (36 * 6 + -2x * 6) 97 = -5x + (216 + -12x) Reorder the terms: 97 = 216 + -5x + -12x Combine like terms: -5x + -12x = -17x 97 = 216 + -17x Solving 97 = 216 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. 97 + 17x = 216 + -17x + 17x Combine like terms: -17x + 17x = 0 97 + 17x = 216 + 0 97 + 17x = 216 Add '-97' to each side of the equation. 97 + -97 + 17x = 216 + -97 Combine like terms: 97 + -97 = 0 0 + 17x = 216 + -97 17x = 216 + -97 Combine like terms: 216 + -97 = 119 17x = 119 Divide each side by '17'. x = 7 Simplifying x = 7
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