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Simplifying -6Y + -3(0.2X + -4) = 13(3 + -1.2X) + 15Y Reorder the terms: -6Y + -3(-4 + 0.2X) = 13(3 + -1.2X) + 15Y -6Y + (-4 * -3 + 0.2X * -3) = 13(3 + -1.2X) + 15Y -6Y + (12 + -0.6X) = 13(3 + -1.2X) + 15Y Reorder the terms: 12 + -0.6X + -6Y = 13(3 + -1.2X) + 15Y 12 + -0.6X + -6Y = (3 * 13 + -1.2X * 13) + 15Y 12 + -0.6X + -6Y = (39 + -15.6X) + 15Y Solving 12 + -0.6X + -6Y = 39 + -15.6X + 15Y Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '15.6X' to each side of the equation. 12 + -0.6X + 15.6X + -6Y = 39 + -15.6X + 15.6X + 15Y Combine like terms: -0.6X + 15.6X = 15X 12 + 15X + -6Y = 39 + -15.6X + 15.6X + 15Y Combine like terms: -15.6X + 15.6X = 0.0 12 + 15X + -6Y = 39 + 0.0 + 15Y 12 + 15X + -6Y = 39 + 15Y Add '-12' to each side of the equation. 12 + 15X + -12 + -6Y = 39 + -12 + 15Y Reorder the terms: 12 + -12 + 15X + -6Y = 39 + -12 + 15Y Combine like terms: 12 + -12 = 0 0 + 15X + -6Y = 39 + -12 + 15Y 15X + -6Y = 39 + -12 + 15Y Combine like terms: 39 + -12 = 27 15X + -6Y = 27 + 15Y Add '6Y' to each side of the equation. 15X + -6Y + 6Y = 27 + 15Y + 6Y Combine like terms: -6Y + 6Y = 0 15X + 0 = 27 + 15Y + 6Y 15X = 27 + 15Y + 6Y Combine like terms: 15Y + 6Y = 21Y 15X = 27 + 21Y Divide each side by '15'. X = 1.8 + 1.4Y Simplifying X = 1.8 + 1.4Y
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