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Simplifying 5(5x + 3) = 17(3x + -4) Reorder the terms: 5(3 + 5x) = 17(3x + -4) (3 * 5 + 5x * 5) = 17(3x + -4) (15 + 25x) = 17(3x + -4) Reorder the terms: 15 + 25x = 17(-4 + 3x) 15 + 25x = (-4 * 17 + 3x * 17) 15 + 25x = (-68 + 51x) Solving 15 + 25x = -68 + 51x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51x' to each side of the equation. 15 + 25x + -51x = -68 + 51x + -51x Combine like terms: 25x + -51x = -26x 15 + -26x = -68 + 51x + -51x Combine like terms: 51x + -51x = 0 15 + -26x = -68 + 0 15 + -26x = -68 Add '-15' to each side of the equation. 15 + -15 + -26x = -68 + -15 Combine like terms: 15 + -15 = 0 0 + -26x = -68 + -15 -26x = -68 + -15 Combine like terms: -68 + -15 = -83 -26x = -83 Divide each side by '-26'. x = 3.192307692 Simplifying x = 3.192307692
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