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Simplifying -11x + 47 + -6x = 121 + -5x Reorder the terms: 47 + -11x + -6x = 121 + -5x Combine like terms: -11x + -6x = -17x 47 + -17x = 121 + -5x Solving 47 + -17x = 121 + -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. 47 + -17x + 5x = 121 + -5x + 5x Combine like terms: -17x + 5x = -12x 47 + -12x = 121 + -5x + 5x Combine like terms: -5x + 5x = 0 47 + -12x = 121 + 0 47 + -12x = 121 Add '-47' to each side of the equation. 47 + -47 + -12x = 121 + -47 Combine like terms: 47 + -47 = 0 0 + -12x = 121 + -47 -12x = 121 + -47 Combine like terms: 121 + -47 = 74 -12x = 74 Divide each side by '-12'. x = -6.166666667 Simplifying x = -6.166666667
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