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Simplifying 5(x + 1) + 2 = 47 Reorder the terms: 5(1 + x) + 2 = 47 (1 * 5 + x * 5) + 2 = 47 (5 + 5x) + 2 = 47 Reorder the terms: 5 + 2 + 5x = 47 Combine like terms: 5 + 2 = 7 7 + 5x = 47 Solving 7 + 5x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5x = 47 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 47 + -7 5x = 47 + -7 Combine like terms: 47 + -7 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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