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Simplifying 5(4x + 1) = 45 Reorder the terms: 5(1 + 4x) = 45 (1 * 5 + 4x * 5) = 45 (5 + 20x) = 45 Solving 5 + 20x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 20x = 45 + -5 Combine like terms: 5 + -5 = 0 0 + 20x = 45 + -5 20x = 45 + -5 Combine like terms: 45 + -5 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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