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Solve for x: 2x - 2 > 4x + 6
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add (-2x - 6) to both sides
-2x -2 > 4x +6 -2 -2
-2x>4x+ 4
-2x>4x+4 -4x -4x ----------- -6x > 4 (divide by -6 on both sides changes the sign) x< -(4/6) x< -(2/3)
x = ?
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\(\ \ \ \ \ \ \ \ \ \ \ 2x - 2 \ \ >\ \ 4x + 6\)\[\ \ \ \ \ \ \ -2x - 6 \ \ \ \ \ -2x - 6\]\[\implies -8 > 2x\]\[\implies -4 > x\]
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