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Simplifying 12(3 + -2x) = 6(6 + -8x) (3 * 12 + -2x * 12) = 6(6 + -8x) (36 + -24x) = 6(6 + -8x) 36 + -24x = (6 * 6 + -8x * 6) 36 + -24x = (36 + -48x) Add '-36' to each side of the equation. 36 + -36 + -24x = 36 + -36 + -48x Combine like terms: 36 + -36 = 0 0 + -24x = 36 + -36 + -48x -24x = 36 + -36 + -48x Combine like terms: 36 + -36 = 0 -24x = 0 + -48x -24x = -48x Solving -24x = -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. -24x + 48x = -48x + 48x Combine like terms: -24x + 48x = 24x 24x = -48x + 48x Combine like terms: -48x + 48x = 0 24x = 0 Divide each side by '24'. x = 0 Simplifying x = 0
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