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Simplifying 43(19 + -17x) + 32(19 + -17x) = 25(7x + -19) (19 * 43 + -17x * 43) + 32(19 + -17x) = 25(7x + -19) (817 + -731x) + 32(19 + -17x) = 25(7x + -19) 817 + -731x + (19 * 32 + -17x * 32) = 25(7x + -19) 817 + -731x + (608 + -544x) = 25(7x + -19) Reorder the terms: 817 + 608 + -731x + -544x = 25(7x + -19) Combine like terms: 817 + 608 = 1425 1425 + -731x + -544x = 25(7x + -19) Combine like terms: -731x + -544x = -1275x 1425 + -1275x = 25(7x + -19) Reorder the terms: 1425 + -1275x = 25(-19 + 7x) 1425 + -1275x = (-19 * 25 + 7x * 25) 1425 + -1275x = (-475 + 175x) Solving 1425 + -1275x = -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. 1425 + -1275x + -175x = -475 + 175x + -175x Combine like terms: -1275x + -175x = -1450x 1425 + -1450x = -475 + 175x + -175x Combine like terms: 175x + -175x = 0 1425 + -1450x = -475 + 0 1425 + -1450x = -475 Add '-1425' to each side of the equation. 1425 + -1425 + -1450x = -475 + -1425 Combine like terms: 1425 + -1425 = 0 0 + -1450x = -475 + -1425 -1450x = -475 + -1425 Combine like terms: -475 + -1425 = -1900 -1450x = -1900 Divide each side by '-1450'. x = 1.310344828 Simplifying x = 1.310344828
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