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Simplifying 8x + -2(2x + -4) + 4(4 + -3x) = 0 Reorder the terms: 8x + -2(-4 + 2x) + 4(4 + -3x) = 0 8x + (-4 * -2 + 2x * -2) + 4(4 + -3x) = 0 8x + (8 + -4x) + 4(4 + -3x) = 0 8x + 8 + -4x + (4 * 4 + -3x * 4) = 0 8x + 8 + -4x + (16 + -12x) = 0 Reorder the terms: 8 + 16 + 8x + -4x + -12x = 0 Combine like terms: 8 + 16 = 24 24 + 8x + -4x + -12x = 0 Combine like terms: 8x + -4x = 4x 24 + 4x + -12x = 0 Combine like terms: 4x + -12x = -8x 24 + -8x = 0 Solving 24 + -8x = 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 + -8x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -8x = 0 + -24 -8x = 0 + -24 Combine like terms: 0 + -24 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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