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Simplifying 102 + -5x = 22x + 24 Reorder the terms: 102 + -5x = 24 + 22x Solving 102 + -5x = 24 + 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. 102 + -5x + -22x = 24 + 22x + -22x Combine like terms: -5x + -22x = -27x 102 + -27x = 24 + 22x + -22x Combine like terms: 22x + -22x = 0 102 + -27x = 24 + 0 102 + -27x = 24 Add '-102' to each side of the equation. 102 + -102 + -27x = 24 + -102 Combine like terms: 102 + -102 = 0 0 + -27x = 24 + -102 -27x = 24 + -102 Combine like terms: 24 + -102 = -78 -27x = -78 Divide each side by '-27'. x = 2.888888889 Simplifying x = 2.888888889
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