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Simplifying 2X + 4(X + -2) + -8(Y + -2) = 0 Reorder the terms: 2X + 4(-2 + X) + -8(Y + -2) = 0 2X + (-2 * 4 + X * 4) + -8(Y + -2) = 0 2X + (-8 + 4X) + -8(Y + -2) = 0 Reorder the terms: 2X + -8 + 4X + -8(-2 + Y) = 0 2X + -8 + 4X + (-2 * -8 + Y * -8) = 0 2X + -8 + 4X + (16 + -8Y) = 0 Reorder the terms: -8 + 16 + 2X + 4X + -8Y = 0 Combine like terms: -8 + 16 = 8 8 + 2X + 4X + -8Y = 0 Combine like terms: 2X + 4X = 6X 8 + 6X + -8Y = 0 Solving 8 + 6X + -8Y = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 6X + -8 + -8Y = 0 + -8 Reorder the terms: 8 + -8 + 6X + -8Y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 6X + -8Y = 0 + -8 6X + -8Y = 0 + -8 Combine like terms: 0 + -8 = -8 6X + -8Y = -8 Add '8Y' to each side of the equation. 6X + -8Y + 8Y = -8 + 8Y Combine like terms: -8Y + 8Y = 0 6X + 0 = -8 + 8Y 6X = -8 + 8Y Divide each side by '6'. X = -1.333333333 + 1.333333333Y Simplifying X = -1.333333333 + 1.333333333Y
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