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Simplifying 3(3x + 4) = 9(1 + 3x) Reorder the terms: 3(4 + 3x) = 9(1 + 3x) (4 * 3 + 3x * 3) = 9(1 + 3x) (12 + 9x) = 9(1 + 3x) 12 + 9x = (1 * 9 + 3x * 9) 12 + 9x = (9 + 27x) Solving 12 + 9x = 9 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 12 + 9x + -27x = 9 + 27x + -27x Combine like terms: 9x + -27x = -18x 12 + -18x = 9 + 27x + -27x Combine like terms: 27x + -27x = 0 12 + -18x = 9 + 0 12 + -18x = 9 Add '-12' to each side of the equation. 12 + -12 + -18x = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -18x = 9 + -12 -18x = 9 + -12 Combine like terms: 9 + -12 = -3 -18x = -3 Divide each side by '-18'. x = 0.1666666667 Simplifying x = 0.1666666667
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