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Simplifying -4(2 + -3x) = -3x + 6 (2 * -4 + -3x * -4) = -3x + 6 (-8 + 12x) = -3x + 6 Reorder the terms: -8 + 12x = 6 + -3x Solving -8 + 12x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -8 + 12x + 3x = 6 + -3x + 3x Combine like terms: 12x + 3x = 15x -8 + 15x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 15x = 6 + 0 -8 + 15x = 6 Add '8' to each side of the equation. -8 + 8 + 15x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 15x = 6 + 8 15x = 6 + 8 Combine like terms: 6 + 8 = 14 15x = 14 Divide each side by '15'. x = 0.9333333333 Simplifying x = 0.9333333333
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