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Simplifying 3(2x + 1) = 6(2x + 3) + 3 Reorder the terms: 3(1 + 2x) = 6(2x + 3) + 3 (1 * 3 + 2x * 3) = 6(2x + 3) + 3 (3 + 6x) = 6(2x + 3) + 3 Reorder the terms: 3 + 6x = 6(3 + 2x) + 3 3 + 6x = (3 * 6 + 2x * 6) + 3 3 + 6x = (18 + 12x) + 3 Reorder the terms: 3 + 6x = 18 + 3 + 12x Combine like terms: 18 + 3 = 21 3 + 6x = 21 + 12x Solving 3 + 6x = 21 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 3 + 6x + -12x = 21 + 12x + -12x Combine like terms: 6x + -12x = -6x 3 + -6x = 21 + 12x + -12x Combine like terms: 12x + -12x = 0 3 + -6x = 21 + 0 3 + -6x = 21 Add '-3' to each side of the equation. 3 + -3 + -6x = 21 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = 21 + -3 -6x = 21 + -3 Combine like terms: 21 + -3 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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