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Simplifying 3(2x + 4) = 4(5x + 2) Reorder the terms: 3(4 + 2x) = 4(5x + 2) (4 * 3 + 2x * 3) = 4(5x + 2) (12 + 6x) = 4(5x + 2) Reorder the terms: 12 + 6x = 4(2 + 5x) 12 + 6x = (2 * 4 + 5x * 4) 12 + 6x = (8 + 20x) Solving 12 + 6x = 8 + 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 = 8 + 20x + -20x Combine like terms: 6x + -20x = -14x 12 + -14x = 8 + 20x + -20x Combine like terms: 20x + -20x = 0 12 + -14x = 8 + 0 12 + -14x = 8 Add '-12' to each side of the equation. 12 + -12 + -14x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -14x = 8 + -12 -14x = 8 + -12 Combine like terms: 8 + -12 = -4 -14x = -4 Divide each side by '-14'. x = 0.2857142857 Simplifying x = 0.2857142857
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