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