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Simplifying 4(3 + -4x) = 6(2 + -8x) (3 * 4 + -4x * 4) = 6(2 + -8x) (12 + -16x) = 6(2 + -8x) 12 + -16x = (2 * 6 + -8x * 6) 12 + -16x = (12 + -48x) Add '-12' to each side of the equation. 12 + -12 + -16x = 12 + -12 + -48x Combine like terms: 12 + -12 = 0 0 + -16x = 12 + -12 + -48x -16x = 12 + -12 + -48x Combine like terms: 12 + -12 = 0 -16x = 0 + -48x -16x = -48x Solving -16x = -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. -16x + 48x = -48x + 48x Combine like terms: -16x + 48x = 32x 32x = -48x + 48x Combine like terms: -48x + 48x = 0 32x = 0 Divide each side by '32'. x = 0 Simplifying x = 0
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