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Simplifying 4(5x + 3) = 2(3x + 4) Reorder the terms: 4(3 + 5x) = 2(3x + 4) (3 * 4 + 5x * 4) = 2(3x + 4) (12 + 20x) = 2(3x + 4) Reorder the terms: 12 + 20x = 2(4 + 3x) 12 + 20x = (4 * 2 + 3x * 2) 12 + 20x = (8 + 6x) Solving 12 + 20x = 8 + 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. 12 + 20x + -6x = 8 + 6x + -6x Combine like terms: 20x + -6x = 14x 12 + 14x = 8 + 6x + -6x Combine like terms: 6x + -6x = 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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