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Simplifying 3(4x + 3) = 5(2x + 1) Reorder the terms: 3(3 + 4x) = 5(2x + 1) (3 * 3 + 4x * 3) = 5(2x + 1) (9 + 12x) = 5(2x + 1) Reorder the terms: 9 + 12x = 5(1 + 2x) 9 + 12x = (1 * 5 + 2x * 5) 9 + 12x = (5 + 10x) Solving 9 + 12x = 5 + 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. 9 + 12x + -10x = 5 + 10x + -10x Combine like terms: 12x + -10x = 2x 9 + 2x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 9 + 2x = 5 + 0 9 + 2x = 5 Add '-9' to each side of the equation. 9 + -9 + 2x = 5 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 5 + -9 2x = 5 + -9 Combine like terms: 5 + -9 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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