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Simplifying 3(4x + 3) = 4(2x + 5) Reorder the terms: 3(3 + 4x) = 4(2x + 5) (3 * 3 + 4x * 3) = 4(2x + 5) (9 + 12x) = 4(2x + 5) Reorder the terms: 9 + 12x = 4(5 + 2x) 9 + 12x = (5 * 4 + 2x * 4) 9 + 12x = (20 + 8x) Solving 9 + 12x = 20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 9 + 12x + -8x = 20 + 8x + -8x Combine like terms: 12x + -8x = 4x 9 + 4x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 9 + 4x = 20 + 0 9 + 4x = 20 Add '-9' to each side of the equation. 9 + -9 + 4x = 20 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 20 + -9 4x = 20 + -9 Combine like terms: 20 + -9 = 11 4x = 11 Divide each side by '4'. x = 2.75 Simplifying x = 2.75
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