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Simplifying 8(2X + 3) = -5(-3X + 2) Reorder the terms: 8(3 + 2X) = -5(-3X + 2) (3 * 8 + 2X * 8) = -5(-3X + 2) (24 + 16X) = -5(-3X + 2) Reorder the terms: 24 + 16X = -5(2 + -3X) 24 + 16X = (2 * -5 + -3X * -5) 24 + 16X = (-10 + 15X) Solving 24 + 16X = -10 + 15X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-15X' to each side of the equation. 24 + 16X + -15X = -10 + 15X + -15X Combine like terms: 16X + -15X = 1X 24 + 1X = -10 + 15X + -15X Combine like terms: 15X + -15X = 0 24 + 1X = -10 + 0 24 + 1X = -10 Add '-24' to each side of the equation. 24 + -24 + 1X = -10 + -24 Combine like terms: 24 + -24 = 0 0 + 1X = -10 + -24 1X = -10 + -24 Combine like terms: -10 + -24 = -34 1X = -34 Divide each side by '1'. X = -34 Simplifying X = -34
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