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Simplifying 8(3 + -1x) = 3x + 2 (3 * 8 + -1x * 8) = 3x + 2 (24 + -8x) = 3x + 2 Reorder the terms: 24 + -8x = 2 + 3x Solving 24 + -8x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 24 + -8x + -3x = 2 + 3x + -3x Combine like terms: -8x + -3x = -11x 24 + -11x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + -11x = 2 + 0 24 + -11x = 2 Add '-24' to each side of the equation. 24 + -24 + -11x = 2 + -24 Combine like terms: 24 + -24 = 0 0 + -11x = 2 + -24 -11x = 2 + -24 Combine like terms: 2 + -24 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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