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Simplifying 9(3x + 1) = 5(x + -3) Reorder the terms: 9(1 + 3x) = 5(x + -3) (1 * 9 + 3x * 9) = 5(x + -3) (9 + 27x) = 5(x + -3) Reorder the terms: 9 + 27x = 5(-3 + x) 9 + 27x = (-3 * 5 + x * 5) 9 + 27x = (-15 + 5x) Solving 9 + 27x = -15 + 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. 9 + 27x + -5x = -15 + 5x + -5x Combine like terms: 27x + -5x = 22x 9 + 22x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + 22x = -15 + 0 9 + 22x = -15 Add '-9' to each side of the equation. 9 + -9 + 22x = -15 + -9 Combine like terms: 9 + -9 = 0 0 + 22x = -15 + -9 22x = -15 + -9 Combine like terms: -15 + -9 = -24 22x = -24 Divide each side by '22'. x = -1.090909091 Simplifying x = -1.090909091
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