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Simplifying 2(3 + -4x) = 3(2x + 5) (3 * 2 + -4x * 2) = 3(2x + 5) (6 + -8x) = 3(2x + 5) Reorder the terms: 6 + -8x = 3(5 + 2x) 6 + -8x = (5 * 3 + 2x * 3) 6 + -8x = (15 + 6x) Solving 6 + -8x = 15 + 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 = 15 + 6x + -6x Combine like terms: -8x + -6x = -14x 6 + -14x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -14x = 15 + 0 6 + -14x = 15 Add '-6' to each side of the equation. 6 + -6 + -14x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -14x = 15 + -6 -14x = 15 + -6 Combine like terms: 15 + -6 = 9 -14x = 9 Divide each side by '-14'. x = -0.6428571429 Simplifying x = -0.6428571429
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