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Simplifying 8x + 21 = 3x + 41 Reorder the terms: 21 + 8x = 3x + 41 Reorder the terms: 21 + 8x = 41 + 3x Solving 21 + 8x = 41 + 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 + 8x + -3x = 41 + 3x + -3x Combine like terms: 8x + -3x = 5x 21 + 5x = 41 + 3x + -3x Combine like terms: 3x + -3x = 0 21 + 5x = 41 + 0 21 + 5x = 41 Add '-21' to each side of the equation. 21 + -21 + 5x = 41 + -21 Combine like terms: 21 + -21 = 0 0 + 5x = 41 + -21 5x = 41 + -21 Combine like terms: 41 + -21 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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