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Simplifying x + -109 = 5x + 7x Reorder the terms: -109 + x = 5x + 7x Combine like terms: 5x + 7x = 12x -109 + x = 12x Solving -109 + x = 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. -109 + x + -12x = 12x + -12x Combine like terms: x + -12x = -11x -109 + -11x = 12x + -12x Combine like terms: 12x + -12x = 0 -109 + -11x = 0 Add '109' to each side of the equation. -109 + 109 + -11x = 0 + 109 Combine like terms: -109 + 109 = 0 0 + -11x = 0 + 109 -11x = 0 + 109 Combine like terms: 0 + 109 = 109 -11x = 109 Divide each side by '-11'. x = -9.909090909 Simplifying x = -9.909090909
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