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Simplifying 6(x + -4(2x + 1)) = 0 Reorder the terms: 6(x + -4(1 + 2x)) = 0 6(x + (1 * -4 + 2x * -4)) = 0 6(x + (-4 + -8x)) = 0 Reorder the terms: 6(-4 + x + -8x) = 0 Combine like terms: x + -8x = -7x 6(-4 + -7x) = 0 (-4 * 6 + -7x * 6) = 0 (-24 + -42x) = 0 Solving -24 + -42x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -42x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -42x = 0 + 24 -42x = 0 + 24 Combine like terms: 0 + 24 = 24 -42x = 24 Divide each side by '-42'. x = -0.5714285714 Simplifying x = -0.5714285714
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