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Simplifying 3x + 22 = 8x + -75.5 Reorder the terms: 22 + 3x = 8x + -75.5 Reorder the terms: 22 + 3x = -75.5 + 8x Solving 22 + 3x = -75.5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 22 + 3x + -8x = -75.5 + 8x + -8x Combine like terms: 3x + -8x = -5x 22 + -5x = -75.5 + 8x + -8x Combine like terms: 8x + -8x = 0 22 + -5x = -75.5 + 0 22 + -5x = -75.5 Add '-22' to each side of the equation. 22 + -22 + -5x = -75.5 + -22 Combine like terms: 22 + -22 = 0 0 + -5x = -75.5 + -22 -5x = -75.5 + -22 Combine like terms: -75.5 + -22 = -97.5 -5x = -97.5 Divide each side by '-5'. x = 19.5 Simplifying x = 19.5
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