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Simplifying 1000(7.34x + 1478) = 100(3.91 + -4.21x) Reorder the terms: 1000(1478 + 7.34x) = 100(3.91 + -4.21x) (1478 * 1000 + 7.34x * 1000) = 100(3.91 + -4.21x) (1478000 + 7340x) = 100(3.91 + -4.21x) 1478000 + 7340x = (3.91 * 100 + -4.21x * 100) 1478000 + 7340x = (391 + -421x) Solving 1478000 + 7340x = 391 + -421x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '421x' to each side of the equation. 1478000 + 7340x + 421x = 391 + -421x + 421x Combine like terms: 7340x + 421x = 7761x 1478000 + 7761x = 391 + -421x + 421x Combine like terms: -421x + 421x = 0 1478000 + 7761x = 391 + 0 1478000 + 7761x = 391 Add '-1478000' to each side of the equation. 1478000 + -1478000 + 7761x = 391 + -1478000 Combine like terms: 1478000 + -1478000 = 0 0 + 7761x = 391 + -1478000 7761x = 391 + -1478000 Combine like terms: 391 + -1478000 = -1477609 7761x = -1477609 Divide each side by '7761'. x = -190.3889963 Simplifying x = -190.3889963
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