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Simplifying 6(4x + -4) + -4(4x + 2) = 0 Reorder the terms: 6(-4 + 4x) + -4(4x + 2) = 0 (-4 * 6 + 4x * 6) + -4(4x + 2) = 0 (-24 + 24x) + -4(4x + 2) = 0 Reorder the terms: -24 + 24x + -4(2 + 4x) = 0 -24 + 24x + (2 * -4 + 4x * -4) = 0 -24 + 24x + (-8 + -16x) = 0 Reorder the terms: -24 + -8 + 24x + -16x = 0 Combine like terms: -24 + -8 = -32 -32 + 24x + -16x = 0 Combine like terms: 24x + -16x = 8x -32 + 8x = 0 Solving -32 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 8x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 8x = 0 + 32 8x = 0 + 32 Combine like terms: 0 + 32 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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