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Simplifying 7x + -137 = -10x + 8 + -12x Reorder the terms: -137 + 7x = -10x + 8 + -12x Reorder the terms: -137 + 7x = 8 + -10x + -12x Combine like terms: -10x + -12x = -22x -137 + 7x = 8 + -22x Solving -137 + 7x = 8 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. -137 + 7x + 22x = 8 + -22x + 22x Combine like terms: 7x + 22x = 29x -137 + 29x = 8 + -22x + 22x Combine like terms: -22x + 22x = 0 -137 + 29x = 8 + 0 -137 + 29x = 8 Add '137' to each side of the equation. -137 + 137 + 29x = 8 + 137 Combine like terms: -137 + 137 = 0 0 + 29x = 8 + 137 29x = 8 + 137 Combine like terms: 8 + 137 = 145 29x = 145 Divide each side by '29'. x = 5 Simplifying x = 5
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