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Simplifying x + 97(4x + 2) = 3211 + -142x Reorder the terms: x + 97(2 + 4x) = 3211 + -142x x + (2 * 97 + 4x * 97) = 3211 + -142x x + (194 + 388x) = 3211 + -142x Reorder the terms: 194 + x + 388x = 3211 + -142x Combine like terms: x + 388x = 389x 194 + 389x = 3211 + -142x Solving 194 + 389x = 3211 + -142x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '142x' to each side of the equation. 194 + 389x + 142x = 3211 + -142x + 142x Combine like terms: 389x + 142x = 531x 194 + 531x = 3211 + -142x + 142x Combine like terms: -142x + 142x = 0 194 + 531x = 3211 + 0 194 + 531x = 3211 Add '-194' to each side of the equation. 194 + -194 + 531x = 3211 + -194 Combine like terms: 194 + -194 = 0 0 + 531x = 3211 + -194 531x = 3211 + -194 Combine like terms: 3211 + -194 = 3017 531x = 3017 Divide each side by '531'. x = 5.68173258 Simplifying x = 5.68173258
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