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Simplifying 9(3x + 2) = 5(x + 1) Reorder the terms: 9(2 + 3x) = 5(x + 1) (2 * 9 + 3x * 9) = 5(x + 1) (18 + 27x) = 5(x + 1) Reorder the terms: 18 + 27x = 5(1 + x) 18 + 27x = (1 * 5 + x * 5) 18 + 27x = (5 + 5x) Solving 18 + 27x = 5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 18 + 27x + -5x = 5 + 5x + -5x Combine like terms: 27x + -5x = 22x 18 + 22x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + 22x = 5 + 0 18 + 22x = 5 Add '-18' to each side of the equation. 18 + -18 + 22x = 5 + -18 Combine like terms: 18 + -18 = 0 0 + 22x = 5 + -18 22x = 5 + -18 Combine like terms: 5 + -18 = -13 22x = -13 Divide each side by '22'. x = -0.5909090909 Simplifying x = -0.5909090909
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