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Simplifying 2x + -174 = -12x + 78 Reorder the terms: -174 + 2x = -12x + 78 Reorder the terms: -174 + 2x = 78 + -12x Solving -174 + 2x = 78 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -174 + 2x + 12x = 78 + -12x + 12x Combine like terms: 2x + 12x = 14x -174 + 14x = 78 + -12x + 12x Combine like terms: -12x + 12x = 0 -174 + 14x = 78 + 0 -174 + 14x = 78 Add '174' to each side of the equation. -174 + 174 + 14x = 78 + 174 Combine like terms: -174 + 174 = 0 0 + 14x = 78 + 174 14x = 78 + 174 Combine like terms: 78 + 174 = 252 14x = 252 Divide each side by '14'. x = 18 Simplifying x = 18
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