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Simplifying 2(3x + 6) = 5(4x + -8) Reorder the terms: 2(6 + 3x) = 5(4x + -8) (6 * 2 + 3x * 2) = 5(4x + -8) (12 + 6x) = 5(4x + -8) Reorder the terms: 12 + 6x = 5(-8 + 4x) 12 + 6x = (-8 * 5 + 4x * 5) 12 + 6x = (-40 + 20x) Solving 12 + 6x = -40 + 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. 12 + 6x + -20x = -40 + 20x + -20x Combine like terms: 6x + -20x = -14x 12 + -14x = -40 + 20x + -20x Combine like terms: 20x + -20x = 0 12 + -14x = -40 + 0 12 + -14x = -40 Add '-12' to each side of the equation. 12 + -12 + -14x = -40 + -12 Combine like terms: 12 + -12 = 0 0 + -14x = -40 + -12 -14x = -40 + -12 Combine like terms: -40 + -12 = -52 -14x = -52 Divide each side by '-14'. x = 3.714285714 Simplifying x = 3.714285714
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