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Simplifying 5(2X + 3) = 7X + -6 + 2X Reorder the terms: 5(3 + 2X) = 7X + -6 + 2X (3 * 5 + 2X * 5) = 7X + -6 + 2X (15 + 10X) = 7X + -6 + 2X Reorder the terms: 15 + 10X = -6 + 7X + 2X Combine like terms: 7X + 2X = 9X 15 + 10X = -6 + 9X Solving 15 + 10X = -6 + 9X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-9X' to each side of the equation. 15 + 10X + -9X = -6 + 9X + -9X Combine like terms: 10X + -9X = 1X 15 + 1X = -6 + 9X + -9X Combine like terms: 9X + -9X = 0 15 + 1X = -6 + 0 15 + 1X = -6 Add '-15' to each side of the equation. 15 + -15 + 1X = -6 + -15 Combine like terms: 15 + -15 = 0 0 + 1X = -6 + -15 1X = -6 + -15 Combine like terms: -6 + -15 = -21 1X = -21 Divide each side by '1'. X = -21 Simplifying X = -21
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