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Simplifying 5(5 + 3x) = 7(7 + 2x) (5 * 5 + 3x * 5) = 7(7 + 2x) (25 + 15x) = 7(7 + 2x) 25 + 15x = (7 * 7 + 2x * 7) 25 + 15x = (49 + 14x) Solving 25 + 15x = 49 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 25 + 15x + -14x = 49 + 14x + -14x Combine like terms: 15x + -14x = 1x 25 + 1x = 49 + 14x + -14x Combine like terms: 14x + -14x = 0 25 + 1x = 49 + 0 25 + 1x = 49 Add '-25' to each side of the equation. 25 + -25 + 1x = 49 + -25 Combine like terms: 25 + -25 = 0 0 + 1x = 49 + -25 1x = 49 + -25 Combine like terms: 49 + -25 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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