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Simplifying 3(3x + 19) = 9(3x + 2) Reorder the terms: 3(19 + 3x) = 9(3x + 2) (19 * 3 + 3x * 3) = 9(3x + 2) (57 + 9x) = 9(3x + 2) Reorder the terms: 57 + 9x = 9(2 + 3x) 57 + 9x = (2 * 9 + 3x * 9) 57 + 9x = (18 + 27x) Solving 57 + 9x = 18 + 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. 57 + 9x + -27x = 18 + 27x + -27x Combine like terms: 9x + -27x = -18x 57 + -18x = 18 + 27x + -27x Combine like terms: 27x + -27x = 0 57 + -18x = 18 + 0 57 + -18x = 18 Add '-57' to each side of the equation. 57 + -57 + -18x = 18 + -57 Combine like terms: 57 + -57 = 0 0 + -18x = 18 + -57 -18x = 18 + -57 Combine like terms: 18 + -57 = -39 -18x = -39 Divide each side by '-18'. x = 2.166666667 Simplifying x = 2.166666667
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