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Simplifying 3(13X + 9) + -6(4X + -5) = 32 Reorder the terms: 3(9 + 13X) + -6(4X + -5) = 32 (9 * 3 + 13X * 3) + -6(4X + -5) = 32 (27 + 39X) + -6(4X + -5) = 32 Reorder the terms: 27 + 39X + -6(-5 + 4X) = 32 27 + 39X + (-5 * -6 + 4X * -6) = 32 27 + 39X + (30 + -24X) = 32 Reorder the terms: 27 + 30 + 39X + -24X = 32 Combine like terms: 27 + 30 = 57 57 + 39X + -24X = 32 Combine like terms: 39X + -24X = 15X 57 + 15X = 32 Solving 57 + 15X = 32 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + 15X = 32 + -57 Combine like terms: 57 + -57 = 0 0 + 15X = 32 + -57 15X = 32 + -57 Combine like terms: 32 + -57 = -25 15X = -25 Divide each side by '15'. X = -1.666666667 Simplifying X = -1.666666667
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