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Simplifying 3(4x + 5) = 5(2x + 3) Reorder the terms: 3(5 + 4x) = 5(2x + 3) (5 * 3 + 4x * 3) = 5(2x + 3) (15 + 12x) = 5(2x + 3) Reorder the terms: 15 + 12x = 5(3 + 2x) 15 + 12x = (3 * 5 + 2x * 5) 15 + 12x = (15 + 10x) Add '-15' to each side of the equation. 15 + -15 + 12x = 15 + -15 + 10x Combine like terms: 15 + -15 = 0 0 + 12x = 15 + -15 + 10x 12x = 15 + -15 + 10x Combine like terms: 15 + -15 = 0 12x = 0 + 10x 12x = 10x Solving 12x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12x + -10x = 10x + -10x Combine like terms: 12x + -10x = 2x 2x = 10x + -10x Combine like terms: 10x + -10x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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