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Simplifying 6(4 + -10x) = 8(2 + -6x) (4 * 6 + -10x * 6) = 8(2 + -6x) (24 + -60x) = 8(2 + -6x) 24 + -60x = (2 * 8 + -6x * 8) 24 + -60x = (16 + -48x) Solving 24 + -60x = 16 + -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. 24 + -60x + 48x = 16 + -48x + 48x Combine like terms: -60x + 48x = -12x 24 + -12x = 16 + -48x + 48x Combine like terms: -48x + 48x = 0 24 + -12x = 16 + 0 24 + -12x = 16 Add '-24' to each side of the equation. 24 + -24 + -12x = 16 + -24 Combine like terms: 24 + -24 = 0 0 + -12x = 16 + -24 -12x = 16 + -24 Combine like terms: 16 + -24 = -8 -12x = -8 Divide each side by '-12'. x = 0.6666666667 Simplifying x = 0.6666666667
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