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Simplifying -2(4x + 2y) + -4(2x + -3y) = 0 (4x * -2 + 2y * -2) + -4(2x + -3y) = 0 (-8x + -4y) + -4(2x + -3y) = 0 -8x + -4y + (2x * -4 + -3y * -4) = 0 -8x + -4y + (-8x + 12y) = 0 Reorder the terms: -8x + -8x + -4y + 12y = 0 Combine like terms: -8x + -8x = -16x -16x + -4y + 12y = 0 Combine like terms: -4y + 12y = 8y -16x + 8y = 0 Solving -16x + 8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. -16x + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 -16x + 0 = 0 + -8y -16x = 0 + -8y Remove the zero: -16x = -8y Divide each side by '-16'. x = 0.5y Simplifying x = 0.5y
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