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Simplifying 8x + -4(-3x + 6) = 12x Reorder the terms: 8x + -4(6 + -3x) = 12x 8x + (6 * -4 + -3x * -4) = 12x 8x + (-24 + 12x) = 12x Reorder the terms: -24 + 8x + 12x = 12x Combine like terms: 8x + 12x = 20x -24 + 20x = 12x Solving -24 + 20x = 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. -24 + 20x + -12x = 12x + -12x Combine like terms: 20x + -12x = 8x -24 + 8x = 12x + -12x Combine like terms: 12x + -12x = 0 -24 + 8x = 0 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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