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