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Simplifying 3(x + 2) = 8(2 + -1x) Reorder the terms: 3(2 + x) = 8(2 + -1x) (2 * 3 + x * 3) = 8(2 + -1x) (6 + 3x) = 8(2 + -1x) 6 + 3x = (2 * 8 + -1x * 8) 6 + 3x = (16 + -8x) Solving 6 + 3x = 16 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 6 + 3x + 8x = 16 + -8x + 8x Combine like terms: 3x + 8x = 11x 6 + 11x = 16 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + 11x = 16 + 0 6 + 11x = 16 Add '-6' to each side of the equation. 6 + -6 + 11x = 16 + -6 Combine like terms: 6 + -6 = 0 0 + 11x = 16 + -6 11x = 16 + -6 Combine like terms: 16 + -6 = 10 11x = 10 Divide each side by '11'. x = 0.9090909091 Simplifying x = 0.9090909091
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