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