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Simplifying 38(39 + -4.5x) = 15(4x + -8) + 31.2 (39 * 38 + -4.5x * 38) = 15(4x + -8) + 31.2 (1482 + -171x) = 15(4x + -8) + 31.2 Reorder the terms: 1482 + -171x = 15(-8 + 4x) + 31.2 1482 + -171x = (-8 * 15 + 4x * 15) + 31.2 1482 + -171x = (-120 + 60x) + 31.2 Reorder the terms: 1482 + -171x = -120 + 31.2 + 60x Combine like terms: -120 + 31.2 = -88.8 1482 + -171x = -88.8 + 60x Solving 1482 + -171x = -88.8 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. 1482 + -171x + -60x = -88.8 + 60x + -60x Combine like terms: -171x + -60x = -231x 1482 + -231x = -88.8 + 60x + -60x Combine like terms: 60x + -60x = 0 1482 + -231x = -88.8 + 0 1482 + -231x = -88.8 Add '-1482' to each side of the equation. 1482 + -1482 + -231x = -88.8 + -1482 Combine like terms: 1482 + -1482 = 0 0 + -231x = -88.8 + -1482 -231x = -88.8 + -1482 Combine like terms: -88.8 + -1482 = -1570.8 -231x = -1570.8 Divide each side by '-231'. x = 6.8 Simplifying x = 6.8
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