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Simplifying 7(2x + 7) = 5(5x + 1) Reorder the terms: 7(7 + 2x) = 5(5x + 1) (7 * 7 + 2x * 7) = 5(5x + 1) (49 + 14x) = 5(5x + 1) Reorder the terms: 49 + 14x = 5(1 + 5x) 49 + 14x = (1 * 5 + 5x * 5) 49 + 14x = (5 + 25x) Solving 49 + 14x = 5 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 49 + 14x + -25x = 5 + 25x + -25x Combine like terms: 14x + -25x = -11x 49 + -11x = 5 + 25x + -25x Combine like terms: 25x + -25x = 0 49 + -11x = 5 + 0 49 + -11x = 5 Add '-49' to each side of the equation. 49 + -49 + -11x = 5 + -49 Combine like terms: 49 + -49 = 0 0 + -11x = 5 + -49 -11x = 5 + -49 Combine like terms: 5 + -49 = -44 -11x = -44 Divide each side by '-11'. x = 4 Simplifying x = 4
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