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Simplifying 7x + 5x + -34 = 85 + -5x Reorder the terms: -34 + 7x + 5x = 85 + -5x Combine like terms: 7x + 5x = 12x -34 + 12x = 85 + -5x Solving -34 + 12x = 85 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -34 + 12x + 5x = 85 + -5x + 5x Combine like terms: 12x + 5x = 17x -34 + 17x = 85 + -5x + 5x Combine like terms: -5x + 5x = 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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