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Simplifying 2(3X + -1) + 2(4 + -1x) = 8 Reorder the terms: 2(-1 + 3X) + 2(4 + -1x) = 8 (-1 * 2 + 3X * 2) + 2(4 + -1x) = 8 (-2 + 6X) + 2(4 + -1x) = 8 -2 + 6X + (4 * 2 + -1x * 2) = 8 -2 + 6X + (8 + -2x) = 8 Reorder the terms: -2 + 8 + 6X + -2x = 8 Combine like terms: -2 + 8 = 6 6 + 6X + -2x = 8 Solving 6 + 6X + -2x = 8 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 6X + -6 + -2x = 8 + -6 Reorder the terms: 6 + -6 + 6X + -2x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 6X + -2x = 8 + -6 6X + -2x = 8 + -6 Combine like terms: 8 + -6 = 2 6X + -2x = 2 Add '2x' to each side of the equation. 6X + -2x + 2x = 2 + 2x Combine like terms: -2x + 2x = 0 6X + 0 = 2 + 2x 6X = 2 + 2x Divide each side by '6'. X = 0.3333333333 + 0.3333333333x Simplifying X = 0.3333333333 + 0.3333333333x
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