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Simplifying 7x + 174 = 5x + 148 Reorder the terms: 174 + 7x = 5x + 148 Reorder the terms: 174 + 7x = 148 + 5x Solving 174 + 7x = 148 + 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. 174 + 7x + -5x = 148 + 5x + -5x Combine like terms: 7x + -5x = 2x 174 + 2x = 148 + 5x + -5x Combine like terms: 5x + -5x = 0 174 + 2x = 148 + 0 174 + 2x = 148 Add '-174' to each side of the equation. 174 + -174 + 2x = 148 + -174 Combine like terms: 174 + -174 = 0 0 + 2x = 148 + -174 2x = 148 + -174 Combine like terms: 148 + -174 = -26 2x = -26 Divide each side by '2'. x = -13 Simplifying x = -13
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