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Simplifying 8x + 6(4 + 2x) = 4(3x + 2) + -8x 8x + (4 * 6 + 2x * 6) = 4(3x + 2) + -8x 8x + (24 + 12x) = 4(3x + 2) + -8x Reorder the terms: 24 + 8x + 12x = 4(3x + 2) + -8x Combine like terms: 8x + 12x = 20x 24 + 20x = 4(3x + 2) + -8x Reorder the terms: 24 + 20x = 4(2 + 3x) + -8x 24 + 20x = (2 * 4 + 3x * 4) + -8x 24 + 20x = (8 + 12x) + -8x Combine like terms: 12x + -8x = 4x 24 + 20x = 8 + 4x Solving 24 + 20x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 24 + 20x + -4x = 8 + 4x + -4x Combine like terms: 20x + -4x = 16x 24 + 16x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + 16x = 8 + 0 24 + 16x = 8 Add '-24' to each side of the equation. 24 + -24 + 16x = 8 + -24 Combine like terms: 24 + -24 = 0 0 + 16x = 8 + -24 16x = 8 + -24 Combine like terms: 8 + -24 = -16 16x = -16 Divide each side by '16'. x = -1 Simplifying x = -1
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