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Simplifying 7(2x + 1) = 49 Reorder the terms: 7(1 + 2x) = 49 (1 * 7 + 2x * 7) = 49 (7 + 14x) = 49 Solving 7 + 14x = 49 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 + 14x = 49 + -7 Combine like terms: 7 + -7 = 0 0 + 14x = 49 + -7 14x = 49 + -7 Combine like terms: 49 + -7 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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