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Simplifying 12(2 + -4x) = 6(4 + -6x) (2 * 12 + -4x * 12) = 6(4 + -6x) (24 + -48x) = 6(4 + -6x) 24 + -48x = (4 * 6 + -6x * 6) 24 + -48x = (24 + -36x) Add '-24' to each side of the equation. 24 + -24 + -48x = 24 + -24 + -36x Combine like terms: 24 + -24 = 0 0 + -48x = 24 + -24 + -36x -48x = 24 + -24 + -36x Combine like terms: 24 + -24 = 0 -48x = 0 + -36x -48x = -36x Solving -48x = -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -48x + 36x = -36x + 36x Combine like terms: -48x + 36x = -12x -12x = -36x + 36x Combine like terms: -36x + 36x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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