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Simplifying 4(2x + -4) + 2(3x + 2) = 0 Reorder the terms: 4(-4 + 2x) + 2(3x + 2) = 0 (-4 * 4 + 2x * 4) + 2(3x + 2) = 0 (-16 + 8x) + 2(3x + 2) = 0 Reorder the terms: -16 + 8x + 2(2 + 3x) = 0 -16 + 8x + (2 * 2 + 3x * 2) = 0 -16 + 8x + (4 + 6x) = 0 Reorder the terms: -16 + 4 + 8x + 6x = 0 Combine like terms: -16 + 4 = -12 -12 + 8x + 6x = 0 Combine like terms: 8x + 6x = 14x -12 + 14x = 0 Solving -12 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 14x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 14x = 0 + 12 14x = 0 + 12 Combine like terms: 0 + 12 = 12 14x = 12 Divide each side by '14'. x = 0.8571428571 Simplifying x = 0.8571428571
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