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Simplifying 34(31 + -5.5x) = 14(5x + -9) + 49.2 (31 * 34 + -5.5x * 34) = 14(5x + -9) + 49.2 (1054 + -187x) = 14(5x + -9) + 49.2 Reorder the terms: 1054 + -187x = 14(-9 + 5x) + 49.2 1054 + -187x = (-9 * 14 + 5x * 14) + 49.2 1054 + -187x = (-126 + 70x) + 49.2 Reorder the terms: 1054 + -187x = -126 + 49.2 + 70x Combine like terms: -126 + 49.2 = -76.8 1054 + -187x = -76.8 + 70x Solving 1054 + -187x = -76.8 + 70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70x' to each side of the equation. 1054 + -187x + -70x = -76.8 + 70x + -70x Combine like terms: -187x + -70x = -257x 1054 + -257x = -76.8 + 70x + -70x Combine like terms: 70x + -70x = 0 1054 + -257x = -76.8 + 0 1054 + -257x = -76.8 Add '-1054' to each side of the equation. 1054 + -1054 + -257x = -76.8 + -1054 Combine like terms: 1054 + -1054 = 0 0 + -257x = -76.8 + -1054 -257x = -76.8 + -1054 Combine like terms: -76.8 + -1054 = -1130.8 -257x = -1130.8 Divide each side by '-257'. x = 4.4 Simplifying x = 4.4
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