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Simplifying 4(2x + -8) + 2(-3x + 4) = 0 Reorder the terms: 4(-8 + 2x) + 2(-3x + 4) = 0 (-8 * 4 + 2x * 4) + 2(-3x + 4) = 0 (-32 + 8x) + 2(-3x + 4) = 0 Reorder the terms: -32 + 8x + 2(4 + -3x) = 0 -32 + 8x + (4 * 2 + -3x * 2) = 0 -32 + 8x + (8 + -6x) = 0 Reorder the terms: -32 + 8 + 8x + -6x = 0 Combine like terms: -32 + 8 = -24 -24 + 8x + -6x = 0 Combine like terms: 8x + -6x = 2x -24 + 2x = 0 Solving -24 + 2x = 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 + 2x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = 0 + 24 2x = 0 + 24 Combine like terms: 0 + 24 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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