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Simplifying 4(5x + 2) = 7(2x + 3) Reorder the terms: 4(2 + 5x) = 7(2x + 3) (2 * 4 + 5x * 4) = 7(2x + 3) (8 + 20x) = 7(2x + 3) Reorder the terms: 8 + 20x = 7(3 + 2x) 8 + 20x = (3 * 7 + 2x * 7) 8 + 20x = (21 + 14x) Solving 8 + 20x = 21 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 8 + 20x + -14x = 21 + 14x + -14x Combine like terms: 20x + -14x = 6x 8 + 6x = 21 + 14x + -14x Combine like terms: 14x + -14x = 0 8 + 6x = 21 + 0 8 + 6x = 21 Add '-8' to each side of the equation. 8 + -8 + 6x = 21 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 21 + -8 6x = 21 + -8 Combine like terms: 21 + -8 = 13 6x = 13 Divide each side by '6'. x = 2.166666667 Simplifying x = 2.166666667
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