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Simplifying 3(2 + x) = 8 + -2(4x + -1) (2 * 3 + x * 3) = 8 + -2(4x + -1) (6 + 3x) = 8 + -2(4x + -1) Reorder the terms: 6 + 3x = 8 + -2(-1 + 4x) 6 + 3x = 8 + (-1 * -2 + 4x * -2) 6 + 3x = 8 + (2 + -8x) Combine like terms: 8 + 2 = 10 6 + 3x = 10 + -8x Solving 6 + 3x = 10 + -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 = 10 + -8x + 8x Combine like terms: 3x + 8x = 11x 6 + 11x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + 11x = 10 + 0 6 + 11x = 10 Add '-6' to each side of the equation. 6 + -6 + 11x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 11x = 10 + -6 11x = 10 + -6 Combine like terms: 10 + -6 = 4 11x = 4 Divide each side by '11'. x = 0.3636363636 Simplifying x = 0.3636363636
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