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Simplifying 3(-2X + 1) + -5(4X + -3) = -6(10 + -1X) Reorder the terms: 3(1 + -2X) + -5(4X + -3) = -6(10 + -1X) (1 * 3 + -2X * 3) + -5(4X + -3) = -6(10 + -1X) (3 + -6X) + -5(4X + -3) = -6(10 + -1X) Reorder the terms: 3 + -6X + -5(-3 + 4X) = -6(10 + -1X) 3 + -6X + (-3 * -5 + 4X * -5) = -6(10 + -1X) 3 + -6X + (15 + -20X) = -6(10 + -1X) Reorder the terms: 3 + 15 + -6X + -20X = -6(10 + -1X) Combine like terms: 3 + 15 = 18 18 + -6X + -20X = -6(10 + -1X) Combine like terms: -6X + -20X = -26X 18 + -26X = -6(10 + -1X) 18 + -26X = (10 * -6 + -1X * -6) 18 + -26X = (-60 + 6X) Solving 18 + -26X = -60 + 6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6X' to each side of the equation. 18 + -26X + -6X = -60 + 6X + -6X Combine like terms: -26X + -6X = -32X 18 + -32X = -60 + 6X + -6X Combine like terms: 6X + -6X = 0 18 + -32X = -60 + 0 18 + -32X = -60 Add '-18' to each side of the equation. 18 + -18 + -32X = -60 + -18 Combine like terms: 18 + -18 = 0 0 + -32X = -60 + -18 -32X = -60 + -18 Combine like terms: -60 + -18 = -78 -32X = -78 Divide each side by '-32'. X = 2.4375 Simplifying X = 2.4375
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