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Simplifying (12x + -74) = (5x + 45) Reorder the terms: (-74 + 12x) = (5x + 45) Remove parenthesis around (-74 + 12x) -74 + 12x = (5x + 45) Reorder the terms: -74 + 12x = (45 + 5x) Remove parenthesis around (45 + 5x) -74 + 12x = 45 + 5x Solving -74 + 12x = 45 + 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. -74 + 12x + -5x = 45 + 5x + -5x Combine like terms: 12x + -5x = 7x -74 + 7x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 -74 + 7x = 45 + 0 -74 + 7x = 45 Add '74' to each side of the equation. -74 + 74 + 7x = 45 + 74 Combine like terms: -74 + 74 = 0 0 + 7x = 45 + 74 7x = 45 + 74 Combine like terms: 45 + 74 = 119 7x = 119 Divide each side by '7'. x = 17 Simplifying x = 17
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