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Simplifying 2(3 + -4x) = 2(2x + 1) (3 * 2 + -4x * 2) = 2(2x + 1) (6 + -8x) = 2(2x + 1) Reorder the terms: 6 + -8x = 2(1 + 2x) 6 + -8x = (1 * 2 + 2x * 2) 6 + -8x = (2 + 4x) Solving 6 + -8x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + -8x + -4x = 2 + 4x + -4x Combine like terms: -8x + -4x = -12x 6 + -12x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -12x = 2 + 0 6 + -12x = 2 Add '-6' to each side of the equation. 6 + -6 + -12x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -12x = 2 + -6 -12x = 2 + -6 Combine like terms: 2 + -6 = -4 -12x = -4 Divide each side by '-12'. x = 0.3333333333 Simplifying x = 0.3333333333
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