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Simplifying 3(2x + 8) = 5(4x + -6) Reorder the terms: 3(8 + 2x) = 5(4x + -6) (8 * 3 + 2x * 3) = 5(4x + -6) (24 + 6x) = 5(4x + -6) Reorder the terms: 24 + 6x = 5(-6 + 4x) 24 + 6x = (-6 * 5 + 4x * 5) 24 + 6x = (-30 + 20x) Solving 24 + 6x = -30 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 24 + 6x + -20x = -30 + 20x + -20x Combine like terms: 6x + -20x = -14x 24 + -14x = -30 + 20x + -20x Combine like terms: 20x + -20x = 0 24 + -14x = -30 + 0 24 + -14x = -30 Add '-24' to each side of the equation. 24 + -24 + -14x = -30 + -24 Combine like terms: 24 + -24 = 0 0 + -14x = -30 + -24 -14x = -30 + -24 Combine like terms: -30 + -24 = -54 -14x = -54 Divide each side by '-14'. x = 3.857142857 Simplifying x = 3.857142857
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