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Simplifying 5(x + 1) + 17 = 42 Reorder the terms: 5(1 + x) + 17 = 42 (1 * 5 + x * 5) + 17 = 42 (5 + 5x) + 17 = 42 Reorder the terms: 5 + 17 + 5x = 42 Combine like terms: 5 + 17 = 22 22 + 5x = 42 Solving 22 + 5x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 5x = 42 + -22 Combine like terms: 22 + -22 = 0 0 + 5x = 42 + -22 5x = 42 + -22 Combine like terms: 42 + -22 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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