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Simplifying 4343(19 + -7x) + 32(19 + -7x) = 25(7x + -19) (19 * 4343 + -7x * 4343) + 32(19 + -7x) = 25(7x + -19) (82517 + -30401x) + 32(19 + -7x) = 25(7x + -19) 82517 + -30401x + (19 * 32 + -7x * 32) = 25(7x + -19) 82517 + -30401x + (608 + -224x) = 25(7x + -19) Reorder the terms: 82517 + 608 + -30401x + -224x = 25(7x + -19) Combine like terms: 82517 + 608 = 83125 83125 + -30401x + -224x = 25(7x + -19) Combine like terms: -30401x + -224x = -30625x 83125 + -30625x = 25(7x + -19) Reorder the terms: 83125 + -30625x = 25(-19 + 7x) 83125 + -30625x = (-19 * 25 + 7x * 25) 83125 + -30625x = (-475 + 175x) Solving 83125 + -30625x = -475 + 175x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-175x' to each side of the equation. 83125 + -30625x + -175x = -475 + 175x + -175x Combine like terms: -30625x + -175x = -30800x 83125 + -30800x = -475 + 175x + -175x Combine like terms: 175x + -175x = 0 83125 + -30800x = -475 + 0 83125 + -30800x = -475 Add '-83125' to each side of the equation. 83125 + -83125 + -30800x = -475 + -83125 Combine like terms: 83125 + -83125 = 0 0 + -30800x = -475 + -83125 -30800x = -475 + -83125 Combine like terms: -475 + -83125 = -83600 -30800x = -83600 Divide each side by '-30800'. x = 2.714285714 Simplifying x = 2.714285714
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