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Simplifying 8(9 + -2X) = 5(2 + -3X) (9 * 8 + -2X * 8) = 5(2 + -3X) (72 + -16X) = 5(2 + -3X) 72 + -16X = (2 * 5 + -3X * 5) 72 + -16X = (10 + -15X) Solving 72 + -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. 72 + -16X + 15X = 10 + -15X + 15X Combine like terms: -16X + 15X = -1X 72 + -1X = 10 + -15X + 15X Combine like terms: -15X + 15X = 0 72 + -1X = 10 + 0 72 + -1X = 10 Add '-72' to each side of the equation. 72 + -72 + -1X = 10 + -72 Combine like terms: 72 + -72 = 0 0 + -1X = 10 + -72 -1X = 10 + -72 Combine like terms: 10 + -72 = -62 -1X = -62 Divide each side by '-1'. X = 62 Simplifying X = 62
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