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Simplifying 82 + -5x = 7x + -22 Reorder the terms: 82 + -5x = -22 + 7x Solving 82 + -5x = -22 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 82 + -5x + -7x = -22 + 7x + -7x Combine like terms: -5x + -7x = -12x 82 + -12x = -22 + 7x + -7x Combine like terms: 7x + -7x = 0 82 + -12x = -22 + 0 82 + -12x = -22 Add '-82' to each side of the equation. 82 + -82 + -12x = -22 + -82 Combine like terms: 82 + -82 = 0 0 + -12x = -22 + -82 -12x = -22 + -82 Combine like terms: -22 + -82 = -104 -12x = -104 Divide each side by '-12'. x = 8.666666667 Simplifying x = 8.666666667
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