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Simplifying 2(4 + -3x) = 2(3x + 4) (4 * 2 + -3x * 2) = 2(3x + 4) (8 + -6x) = 2(3x + 4) Reorder the terms: 8 + -6x = 2(4 + 3x) 8 + -6x = (4 * 2 + 3x * 2) 8 + -6x = (8 + 6x) Add '-8' to each side of the equation. 8 + -8 + -6x = 8 + -8 + 6x Combine like terms: 8 + -8 = 0 0 + -6x = 8 + -8 + 6x -6x = 8 + -8 + 6x Combine like terms: 8 + -8 = 0 -6x = 0 + 6x -6x = 6x Solving -6x = 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. -6x + -6x = 6x + -6x Combine like terms: -6x + -6x = -12x -12x = 6x + -6x Combine like terms: 6x + -6x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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