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Simplifying 6(2x + -4) = 4(8x + -1) Reorder the terms: 6(-4 + 2x) = 4(8x + -1) (-4 * 6 + 2x * 6) = 4(8x + -1) (-24 + 12x) = 4(8x + -1) Reorder the terms: -24 + 12x = 4(-1 + 8x) -24 + 12x = (-1 * 4 + 8x * 4) -24 + 12x = (-4 + 32x) Solving -24 + 12x = -4 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -24 + 12x + -32x = -4 + 32x + -32x Combine like terms: 12x + -32x = -20x -24 + -20x = -4 + 32x + -32x Combine like terms: 32x + -32x = 0 -24 + -20x = -4 + 0 -24 + -20x = -4 Add '24' to each side of the equation. -24 + 24 + -20x = -4 + 24 Combine like terms: -24 + 24 = 0 0 + -20x = -4 + 24 -20x = -4 + 24 Combine like terms: -4 + 24 = 20 -20x = 20 Divide each side by '-20'. x = -1 Simplifying x = -1
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