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Simplifying -5(5.255 + 3.1x) = 6.2(2.5x + 1.9) (5.255 * -5 + 3.1x * -5) = 6.2(2.5x + 1.9) (-26.275 + -15.5x) = 6.2(2.5x + 1.9) Reorder the terms: -26.275 + -15.5x = 6.2(1.9 + 2.5x) -26.275 + -15.5x = (1.9 * 6.2 + 2.5x * 6.2) -26.275 + -15.5x = (11.78 + 15.5x) Solving -26.275 + -15.5x = 11.78 + 15.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15.5x' to each side of the equation. -26.275 + -15.5x + -15.5x = 11.78 + 15.5x + -15.5x Combine like terms: -15.5x + -15.5x = -31x -26.275 + -31x = 11.78 + 15.5x + -15.5x Combine like terms: 15.5x + -15.5x = 0.0 -26.275 + -31x = 11.78 + 0.0 -26.275 + -31x = 11.78 Add '26.275' to each side of the equation. -26.275 + 26.275 + -31x = 11.78 + 26.275 Combine like terms: -26.275 + 26.275 = 0.000 0.000 + -31x = 11.78 + 26.275 -31x = 11.78 + 26.275 Combine like terms: 11.78 + 26.275 = 38.055 -31x = 38.055 Divide each side by '-31'. x = -1.227580645 Simplifying x = -1.227580645
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