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Simplifying 43(10 + -7x) + 32(19 + -7x) = 25(7x + -19) (10 * 43 + -7x * 43) + 32(19 + -7x) = 25(7x + -19) (430 + -301x) + 32(19 + -7x) = 25(7x + -19) 430 + -301x + (19 * 32 + -7x * 32) = 25(7x + -19) 430 + -301x + (608 + -224x) = 25(7x + -19) Reorder the terms: 430 + 608 + -301x + -224x = 25(7x + -19) Combine like terms: 430 + 608 = 1038 1038 + -301x + -224x = 25(7x + -19) Combine like terms: -301x + -224x = -525x 1038 + -525x = 25(7x + -19) Reorder the terms: 1038 + -525x = 25(-19 + 7x) 1038 + -525x = (-19 * 25 + 7x * 25) 1038 + -525x = (-475 + 175x) Solving 1038 + -525x = -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. 1038 + -525x + -175x = -475 + 175x + -175x Combine like terms: -525x + -175x = -700x 1038 + -700x = -475 + 175x + -175x Combine like terms: 175x + -175x = 0 1038 + -700x = -475 + 0 1038 + -700x = -475 Add '-1038' to each side of the equation. 1038 + -1038 + -700x = -475 + -1038 Combine like terms: 1038 + -1038 = 0 0 + -700x = -475 + -1038 -700x = -475 + -1038 Combine like terms: -475 + -1038 = -1513 -700x = -1513 Divide each side by '-700'. x = 2.161428571 Simplifying x = 2.161428571
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