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Simplifying 3(3X + 5) + 2(3X + -7) = 19 Reorder the terms: 3(5 + 3X) + 2(3X + -7) = 19 (5 * 3 + 3X * 3) + 2(3X + -7) = 19 (15 + 9X) + 2(3X + -7) = 19 Reorder the terms: 15 + 9X + 2(-7 + 3X) = 19 15 + 9X + (-7 * 2 + 3X * 2) = 19 15 + 9X + (-14 + 6X) = 19 Reorder the terms: 15 + -14 + 9X + 6X = 19 Combine like terms: 15 + -14 = 1 1 + 9X + 6X = 19 Combine like terms: 9X + 6X = 15X 1 + 15X = 19 Solving 1 + 15X = 19 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 15X = 19 + -1 Combine like terms: 1 + -1 = 0 0 + 15X = 19 + -1 15X = 19 + -1 Combine like terms: 19 + -1 = 18 15X = 18 Divide each side by '15'. X = 1.2 Simplifying X = 1.2
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