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Simplifying -6Y + -3(X + -4) = 13(3 + -1X) + 15Y Reorder the terms: -6Y + -3(-4 + X) = 13(3 + -1X) + 15Y -6Y + (-4 * -3 + X * -3) = 13(3 + -1X) + 15Y -6Y + (12 + -3X) = 13(3 + -1X) + 15Y Reorder the terms: 12 + -3X + -6Y = 13(3 + -1X) + 15Y 12 + -3X + -6Y = (3 * 13 + -1X * 13) + 15Y 12 + -3X + -6Y = (39 + -13X) + 15Y Solving 12 + -3X + -6Y = 39 + -13X + 15Y Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '13X' to each side of the equation. 12 + -3X + 13X + -6Y = 39 + -13X + 13X + 15Y Combine like terms: -3X + 13X = 10X 12 + 10X + -6Y = 39 + -13X + 13X + 15Y Combine like terms: -13X + 13X = 0 12 + 10X + -6Y = 39 + 0 + 15Y 12 + 10X + -6Y = 39 + 15Y Add '-12' to each side of the equation. 12 + 10X + -12 + -6Y = 39 + -12 + 15Y Reorder the terms: 12 + -12 + 10X + -6Y = 39 + -12 + 15Y Combine like terms: 12 + -12 = 0 0 + 10X + -6Y = 39 + -12 + 15Y 10X + -6Y = 39 + -12 + 15Y Combine like terms: 39 + -12 = 27 10X + -6Y = 27 + 15Y Add '6Y' to each side of the equation. 10X + -6Y + 6Y = 27 + 15Y + 6Y Combine like terms: -6Y + 6Y = 0 10X + 0 = 27 + 15Y + 6Y 10X = 27 + 15Y + 6Y Combine like terms: 15Y + 6Y = 21Y 10X = 27 + 21Y Divide each side by '10'. X = 2.7 + 2.1Y Simplifying X = 2.7 + 2.1Y
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