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Simplifying 2(3 + -4x) = 2(3x + 2) (3 * 2 + -4x * 2) = 2(3x + 2) (6 + -8x) = 2(3x + 2) Reorder the terms: 6 + -8x = 2(2 + 3x) 6 + -8x = (2 * 2 + 3x * 2) 6 + -8x = (4 + 6x) Solving 6 + -8x = 4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + -8x + -6x = 4 + 6x + -6x Combine like terms: -8x + -6x = -14x 6 + -14x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -14x = 4 + 0 6 + -14x = 4 Add '-6' to each side of the equation. 6 + -6 + -14x = 4 + -6 Combine like terms: 6 + -6 = 0 0 + -14x = 4 + -6 -14x = 4 + -6 Combine like terms: 4 + -6 = -2 -14x = -2 Divide each side by '-14'. x = 0.1428571429 Simplifying x = 0.1428571429
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