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Simplifying 3(8 + -4x) = -6(x + 3) (8 * 3 + -4x * 3) = -6(x + 3) (24 + -12x) = -6(x + 3) Reorder the terms: 24 + -12x = -6(3 + x) 24 + -12x = (3 * -6 + x * -6) 24 + -12x = (-18 + -6x) Solving 24 + -12x = -18 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 24 + -12x + 6x = -18 + -6x + 6x Combine like terms: -12x + 6x = -6x 24 + -6x = -18 + -6x + 6x Combine like terms: -6x + 6x = 0 24 + -6x = -18 + 0 24 + -6x = -18 Add '-24' to each side of the equation. 24 + -24 + -6x = -18 + -24 Combine like terms: 24 + -24 = 0 0 + -6x = -18 + -24 -6x = -18 + -24 Combine like terms: -18 + -24 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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