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Simplifying 3(2 + -1x) = 2(x + 8) (2 * 3 + -1x * 3) = 2(x + 8) (6 + -3x) = 2(x + 8) Reorder the terms: 6 + -3x = 2(8 + x) 6 + -3x = (8 * 2 + x * 2) 6 + -3x = (16 + 2x) Solving 6 + -3x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + -3x + -2x = 16 + 2x + -2x Combine like terms: -3x + -2x = -5x 6 + -5x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -5x = 16 + 0 6 + -5x = 16 Add '-6' to each side of the equation. 6 + -6 + -5x = 16 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 16 + -6 -5x = 16 + -6 Combine like terms: 16 + -6 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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