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Simplifying 7x + 4y + -6(7x + -8y + 4z) = 0 7x + 4y + (7x * -6 + -8y * -6 + 4z * -6) = 0 7x + 4y + (-42x + 48y + -24z) = 0 Reorder the terms: 7x + -42x + 4y + 48y + -24z = 0 Combine like terms: 7x + -42x = -35x -35x + 4y + 48y + -24z = 0 Combine like terms: 4y + 48y = 52y -35x + 52y + -24z = 0 Solving -35x + 52y + -24z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52y' to each side of the equation. -35x + 52y + -52y + -24z = 0 + -52y Combine like terms: 52y + -52y = 0 -35x + 0 + -24z = 0 + -52y -35x + -24z = 0 + -52y Remove the zero: -35x + -24z = -52y Add '24z' to each side of the equation. -35x + -24z + 24z = -52y + 24z Combine like terms: -24z + 24z = 0 -35x + 0 = -52y + 24z -35x = -52y + 24z Divide each side by '-35'. x = 1.485714286y + -0.6857142857z Simplifying x = 1.485714286y + -0.6857142857z
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