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Simplifying 2(3x + 4) + 6(x + -4) = 0 Reorder the terms: 2(4 + 3x) + 6(x + -4) = 0 (4 * 2 + 3x * 2) + 6(x + -4) = 0 (8 + 6x) + 6(x + -4) = 0 Reorder the terms: 8 + 6x + 6(-4 + x) = 0 8 + 6x + (-4 * 6 + x * 6) = 0 8 + 6x + (-24 + 6x) = 0 Reorder the terms: 8 + -24 + 6x + 6x = 0 Combine like terms: 8 + -24 = -16 -16 + 6x + 6x = 0 Combine like terms: 6x + 6x = 12x -16 + 12x = 0 Solving -16 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 12x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 12x = 0 + 16 12x = 0 + 16 Combine like terms: 0 + 16 = 16 12x = 16 Divide each side by '12'. x = 1.333333333 Simplifying x = 1.333333333
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