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Simplifying 3x + 22 = 5x + 38 Reorder the terms: 22 + 3x = 5x + 38 Reorder the terms: 22 + 3x = 38 + 5x Solving 22 + 3x = 38 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 22 + 3x + -5x = 38 + 5x + -5x Combine like terms: 3x + -5x = -2x 22 + -2x = 38 + 5x + -5x Combine like terms: 5x + -5x = 0 22 + -2x = 38 + 0 22 + -2x = 38 Add '-22' to each side of the equation. 22 + -22 + -2x = 38 + -22 Combine like terms: 22 + -22 = 0 0 + -2x = 38 + -22 -2x = 38 + -22 Combine like terms: 38 + -22 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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