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Simplifying 2(3x + 1) = 3x + -8 Reorder the terms: 2(1 + 3x) = 3x + -8 (1 * 2 + 3x * 2) = 3x + -8 (2 + 6x) = 3x + -8 Reorder the terms: 2 + 6x = -8 + 3x Solving 2 + 6x = -8 + 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. 2 + 6x + -3x = -8 + 3x + -3x Combine like terms: 6x + -3x = 3x 2 + 3x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 3x = -8 + 0 2 + 3x = -8 Add '-2' to each side of the equation. 2 + -2 + 3x = -8 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = -8 + -2 3x = -8 + -2 Combine like terms: -8 + -2 = -10 3x = -10 Divide each side by '3'. x = -3.333333333 Simplifying x = -3.333333333
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