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Simplifying 4(2x + -1y) + -3(4x + -1y) = 0 (2x * 4 + -1y * 4) + -3(4x + -1y) = 0 (8x + -4y) + -3(4x + -1y) = 0 8x + -4y + (4x * -3 + -1y * -3) = 0 8x + -4y + (-12x + 3y) = 0 Reorder the terms: 8x + -12x + -4y + 3y = 0 Combine like terms: 8x + -12x = -4x -4x + -4y + 3y = 0 Combine like terms: -4y + 3y = -1y -4x + -1y = 0 Solving -4x + -1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. -4x + -1y + y = 0 + y Combine like terms: -1y + y = 0 -4x + 0 = 0 + y -4x = 0 + y Remove the zero: -4x = y Divide each side by '-4'. x = -0.25y Simplifying x = -0.25y
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