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Simplifying 3(3x + 1) = 5(9 + -1x) Reorder the terms: 3(1 + 3x) = 5(9 + -1x) (1 * 3 + 3x * 3) = 5(9 + -1x) (3 + 9x) = 5(9 + -1x) 3 + 9x = (9 * 5 + -1x * 5) 3 + 9x = (45 + -5x) Solving 3 + 9x = 45 + -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. 3 + 9x + 5x = 45 + -5x + 5x Combine like terms: 9x + 5x = 14x 3 + 14x = 45 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + 14x = 45 + 0 3 + 14x = 45 Add '-3' to each side of the equation. 3 + -3 + 14x = 45 + -3 Combine like terms: 3 + -3 = 0 0 + 14x = 45 + -3 14x = 45 + -3 Combine like terms: 45 + -3 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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