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Simplifying 3(2 + -1x) = 8(x + -2) (2 * 3 + -1x * 3) = 8(x + -2) (6 + -3x) = 8(x + -2) Reorder the terms: 6 + -3x = 8(-2 + x) 6 + -3x = (-2 * 8 + x * 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 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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