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Simplifying 43(9 + -3x) + 39(9 + -3x) = 25(3x + -9) (9 * 43 + -3x * 43) + 39(9 + -3x) = 25(3x + -9) (387 + -129x) + 39(9 + -3x) = 25(3x + -9) 387 + -129x + (9 * 39 + -3x * 39) = 25(3x + -9) 387 + -129x + (351 + -117x) = 25(3x + -9) Reorder the terms: 387 + 351 + -129x + -117x = 25(3x + -9) Combine like terms: 387 + 351 = 738 738 + -129x + -117x = 25(3x + -9) Combine like terms: -129x + -117x = -246x 738 + -246x = 25(3x + -9) Reorder the terms: 738 + -246x = 25(-9 + 3x) 738 + -246x = (-9 * 25 + 3x * 25) 738 + -246x = (-225 + 75x) Solving 738 + -246x = -225 + 75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75x' to each side of the equation. 738 + -246x + -75x = -225 + 75x + -75x Combine like terms: -246x + -75x = -321x 738 + -321x = -225 + 75x + -75x Combine like terms: 75x + -75x = 0 738 + -321x = -225 + 0 738 + -321x = -225 Add '-738' to each side of the equation. 738 + -738 + -321x = -225 + -738 Combine like terms: 738 + -738 = 0 0 + -321x = -225 + -738 -321x = -225 + -738 Combine like terms: -225 + -738 = -963 -321x = -963 Divide each side by '-321'. x = 3 Simplifying x = 3
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