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Simplifying 5(4x + 3) = 2(3x + 23) Reorder the terms: 5(3 + 4x) = 2(3x + 23) (3 * 5 + 4x * 5) = 2(3x + 23) (15 + 20x) = 2(3x + 23) Reorder the terms: 15 + 20x = 2(23 + 3x) 15 + 20x = (23 * 2 + 3x * 2) 15 + 20x = (46 + 6x) Solving 15 + 20x = 46 + 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. 15 + 20x + -6x = 46 + 6x + -6x Combine like terms: 20x + -6x = 14x 15 + 14x = 46 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + 14x = 46 + 0 15 + 14x = 46 Add '-15' to each side of the equation. 15 + -15 + 14x = 46 + -15 Combine like terms: 15 + -15 = 0 0 + 14x = 46 + -15 14x = 46 + -15 Combine like terms: 46 + -15 = 31 14x = 31 Divide each side by '14'. x = 2.214285714 Simplifying x = 2.214285714
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