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Simplifying 5(5x + 2) = 17(3x + -4) Reorder the terms: 5(2 + 5x) = 17(3x + -4) (2 * 5 + 5x * 5) = 17(3x + -4) (10 + 25x) = 17(3x + -4) Reorder the terms: 10 + 25x = 17(-4 + 3x) 10 + 25x = (-4 * 17 + 3x * 17) 10 + 25x = (-68 + 51x) Solving 10 + 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. 10 + 25x + -51x = -68 + 51x + -51x Combine like terms: 25x + -51x = -26x 10 + -26x = -68 + 51x + -51x Combine like terms: 51x + -51x = 0 10 + -26x = -68 + 0 10 + -26x = -68 Add '-10' to each side of the equation. 10 + -10 + -26x = -68 + -10 Combine like terms: 10 + -10 = 0 0 + -26x = -68 + -10 -26x = -68 + -10 Combine like terms: -68 + -10 = -78 -26x = -78 Divide each side by '-26'. x = 3 Simplifying x = 3
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