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Simplifying 2(9x + 3) = 3(4 + 3x) Reorder the terms: 2(3 + 9x) = 3(4 + 3x) (3 * 2 + 9x * 2) = 3(4 + 3x) (6 + 18x) = 3(4 + 3x) 6 + 18x = (4 * 3 + 3x * 3) 6 + 18x = (12 + 9x) Solving 6 + 18x = 12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 6 + 18x + -9x = 12 + 9x + -9x Combine like terms: 18x + -9x = 9x 6 + 9x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 6 + 9x = 12 + 0 6 + 9x = 12 Add '-6' to each side of the equation. 6 + -6 + 9x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = 12 + -6 9x = 12 + -6 Combine like terms: 12 + -6 = 6 9x = 6 Divide each side by '9'. x = 0.6666666667 Simplifying x = 0.6666666667
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