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Simplifying -78 + -1x = 174 + 11x Solving -78 + -1x = 174 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -78 + -1x + -11x = 174 + 11x + -11x Combine like terms: -1x + -11x = -12x -78 + -12x = 174 + 11x + -11x Combine like terms: 11x + -11x = 0 -78 + -12x = 174 + 0 -78 + -12x = 174 Add '78' to each side of the equation. -78 + 78 + -12x = 174 + 78 Combine like terms: -78 + 78 = 0 0 + -12x = 174 + 78 -12x = 174 + 78 Combine like terms: 174 + 78 = 252 -12x = 252 Divide each side by '-12'. x = -21 Simplifying x = -21
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