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Simplifying 3(8x + 6) = 12(4 + -1x) Reorder the terms: 3(6 + 8x) = 12(4 + -1x) (6 * 3 + 8x * 3) = 12(4 + -1x) (18 + 24x) = 12(4 + -1x) 18 + 24x = (4 * 12 + -1x * 12) 18 + 24x = (48 + -12x) Solving 18 + 24x = 48 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 18 + 24x + 12x = 48 + -12x + 12x Combine like terms: 24x + 12x = 36x 18 + 36x = 48 + -12x + 12x Combine like terms: -12x + 12x = 0 18 + 36x = 48 + 0 18 + 36x = 48 Add '-18' to each side of the equation. 18 + -18 + 36x = 48 + -18 Combine like terms: 18 + -18 = 0 0 + 36x = 48 + -18 36x = 48 + -18 Combine like terms: 48 + -18 = 30 36x = 30 Divide each side by '36'. x = 0.8333333333 Simplifying x = 0.8333333333
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