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Simplifying 6(2x + 1) = 3(x + 3) Reorder the terms: 6(1 + 2x) = 3(x + 3) (1 * 6 + 2x * 6) = 3(x + 3) (6 + 12x) = 3(x + 3) Reorder the terms: 6 + 12x = 3(3 + x) 6 + 12x = (3 * 3 + x * 3) 6 + 12x = (9 + 3x) Solving 6 + 12x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + 12x + -3x = 9 + 3x + -3x Combine like terms: 12x + -3x = 9x 6 + 9x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 9x = 9 + 0 6 + 9x = 9 Add '-6' to each side of the equation. 6 + -6 + 9x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = 9 + -6 9x = 9 + -6 Combine like terms: 9 + -6 = 3 9x = 3 Divide each side by '9'. x = 0.3333333333 Simplifying x = 0.3333333333
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