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Simplifying 5x + 22 + -8x = 82 + 1x Reorder the terms: 22 + 5x + -8x = 82 + 1x Combine like terms: 5x + -8x = -3x 22 + -3x = 82 + 1x Solving 22 + -3x = 82 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 22 + -3x + -1x = 82 + 1x + -1x Combine like terms: -3x + -1x = -4x 22 + -4x = 82 + 1x + -1x Combine like terms: 1x + -1x = 0 22 + -4x = 82 + 0 22 + -4x = 82 Add '-22' to each side of the equation. 22 + -22 + -4x = 82 + -22 Combine like terms: 22 + -22 = 0 0 + -4x = 82 + -22 -4x = 82 + -22 Combine like terms: 82 + -22 = 60 -4x = 60 Divide each side by '-4'. x = -15 Simplifying x = -15
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