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