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Simplifying 2x + 22 + 3x + -1 = 47 + -3x + 38 Reorder the terms: 22 + -1 + 2x + 3x = 47 + -3x + 38 Combine like terms: 22 + -1 = 21 21 + 2x + 3x = 47 + -3x + 38 Combine like terms: 2x + 3x = 5x 21 + 5x = 47 + -3x + 38 Reorder the terms: 21 + 5x = 47 + 38 + -3x Combine like terms: 47 + 38 = 85 21 + 5x = 85 + -3x Solving 21 + 5x = 85 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 21 + 5x + 3x = 85 + -3x + 3x Combine like terms: 5x + 3x = 8x 21 + 8x = 85 + -3x + 3x Combine like terms: -3x + 3x = 0 21 + 8x = 85 + 0 21 + 8x = 85 Add '-21' to each side of the equation. 21 + -21 + 8x = 85 + -21 Combine like terms: 21 + -21 = 0 0 + 8x = 85 + -21 8x = 85 + -21 Combine like terms: 85 + -21 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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