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Simplifying 3(4x + 3) = 3(2x + 1) Reorder the terms: 3(3 + 4x) = 3(2x + 1) (3 * 3 + 4x * 3) = 3(2x + 1) (9 + 12x) = 3(2x + 1) Reorder the terms: 9 + 12x = 3(1 + 2x) 9 + 12x = (1 * 3 + 2x * 3) 9 + 12x = (3 + 6x) Solving 9 + 12x = 3 + 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. 9 + 12x + -6x = 3 + 6x + -6x Combine like terms: 12x + -6x = 6x 9 + 6x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + 6x = 3 + 0 9 + 6x = 3 Add '-9' to each side of the equation. 9 + -9 + 6x = 3 + -9 Combine like terms: 9 + -9 = 0 0 + 6x = 3 + -9 6x = 3 + -9 Combine like terms: 3 + -9 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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