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Simplifying -8(x + 3) = 2(8 + -6x) Reorder the terms: -8(3 + x) = 2(8 + -6x) (3 * -8 + x * -8) = 2(8 + -6x) (-24 + -8x) = 2(8 + -6x) -24 + -8x = (8 * 2 + -6x * 2) -24 + -8x = (16 + -12x) Solving -24 + -8x = 16 + -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. -24 + -8x + 12x = 16 + -12x + 12x Combine like terms: -8x + 12x = 4x -24 + 4x = 16 + -12x + 12x Combine like terms: -12x + 12x = 0 -24 + 4x = 16 + 0 -24 + 4x = 16 Add '24' to each side of the equation. -24 + 24 + 4x = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = 16 + 24 4x = 16 + 24 Combine like terms: 16 + 24 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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