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Simplifying 4(8x + -4) = 6(2x + 4) Reorder the terms: 4(-4 + 8x) = 6(2x + 4) (-4 * 4 + 8x * 4) = 6(2x + 4) (-16 + 32x) = 6(2x + 4) Reorder the terms: -16 + 32x = 6(4 + 2x) -16 + 32x = (4 * 6 + 2x * 6) -16 + 32x = (24 + 12x) Solving -16 + 32x = 24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -16 + 32x + -12x = 24 + 12x + -12x Combine like terms: 32x + -12x = 20x -16 + 20x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 -16 + 20x = 24 + 0 -16 + 20x = 24 Add '16' to each side of the equation. -16 + 16 + 20x = 24 + 16 Combine like terms: -16 + 16 = 0 0 + 20x = 24 + 16 20x = 24 + 16 Combine like terms: 24 + 16 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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