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Simplifying 17(7x + 7) = -17(x + -5) Reorder the terms: 17(7 + 7x) = -17(x + -5) (7 * 17 + 7x * 17) = -17(x + -5) (119 + 119x) = -17(x + -5) Reorder the terms: 119 + 119x = -17(-5 + x) 119 + 119x = (-5 * -17 + x * -17) 119 + 119x = (85 + -17x) Solving 119 + 119x = 85 + -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. 119 + 119x + 17x = 85 + -17x + 17x Combine like terms: 119x + 17x = 136x 119 + 136x = 85 + -17x + 17x Combine like terms: -17x + 17x = 0 119 + 136x = 85 + 0 119 + 136x = 85 Add '-119' to each side of the equation. 119 + -119 + 136x = 85 + -119 Combine like terms: 119 + -119 = 0 0 + 136x = 85 + -119 136x = 85 + -119 Combine like terms: 85 + -119 = -34 136x = -34 Divide each side by '136'. x = -0.25 Simplifying x = -0.25
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