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Simplifying 8x + 21 = 5x + 66 Reorder the terms: 21 + 8x = 5x + 66 Reorder the terms: 21 + 8x = 66 + 5x Solving 21 + 8x = 66 + 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. 21 + 8x + -5x = 66 + 5x + -5x Combine like terms: 8x + -5x = 3x 21 + 3x = 66 + 5x + -5x Combine like terms: 5x + -5x = 0 21 + 3x = 66 + 0 21 + 3x = 66 Add '-21' to each side of the equation. 21 + -21 + 3x = 66 + -21 Combine like terms: 21 + -21 = 0 0 + 3x = 66 + -21 3x = 66 + -21 Combine like terms: 66 + -21 = 45 3x = 45 Divide each side by '3'. x = 15 Simplifying x = 15
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