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Simplifying 5(3X + 4) = 9 + (6X + -7) Reorder the terms: 5(4 + 3X) = 9 + (6X + -7) (4 * 5 + 3X * 5) = 9 + (6X + -7) (20 + 15X) = 9 + (6X + -7) Reorder the terms: 20 + 15X = 9 + (-7 + 6X) Remove parenthesis around (-7 + 6X) 20 + 15X = 9 + -7 + 6X Combine like terms: 9 + -7 = 2 20 + 15X = 2 + 6X Solving 20 + 15X = 2 + 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. 20 + 15X + -6X = 2 + 6X + -6X Combine like terms: 15X + -6X = 9X 20 + 9X = 2 + 6X + -6X Combine like terms: 6X + -6X = 0 20 + 9X = 2 + 0 20 + 9X = 2 Add '-20' to each side of the equation. 20 + -20 + 9X = 2 + -20 Combine like terms: 20 + -20 = 0 0 + 9X = 2 + -20 9X = 2 + -20 Combine like terms: 2 + -20 = -18 9X = -18 Divide each side by '9'. X = -2 Simplifying X = -2
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