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Simplifying 5(x + 4) + 1 = 51 Reorder the terms: 5(4 + x) + 1 = 51 (4 * 5 + x * 5) + 1 = 51 (20 + 5x) + 1 = 51 Reorder the terms: 20 + 1 + 5x = 51 Combine like terms: 20 + 1 = 21 21 + 5x = 51 Solving 21 + 5x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 5x = 51 + -21 Combine like terms: 21 + -21 = 0 0 + 5x = 51 + -21 5x = 51 + -21 Combine like terms: 51 + -21 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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