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Simplifying 12x + -174 = 5x + -13 Reorder the terms: -174 + 12x = 5x + -13 Reorder the terms: -174 + 12x = -13 + 5x Solving -174 + 12x = -13 + 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 + 12x + -5x = -13 + 5x + -5x Combine like terms: 12x + -5x = 7x -174 + 7x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 -174 + 7x = -13 + 0 -174 + 7x = -13 Add '174' to each side of the equation. -174 + 174 + 7x = -13 + 174 Combine like terms: -174 + 174 = 0 0 + 7x = -13 + 174 7x = -13 + 174 Combine like terms: -13 + 174 = 161 7x = 161 Divide each side by '7'. x = 23 Simplifying x = 23
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