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