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Simplifying 3(3x + 1) = 7(13 + -5x) Reorder the terms: 3(1 + 3x) = 7(13 + -5x) (1 * 3 + 3x * 3) = 7(13 + -5x) (3 + 9x) = 7(13 + -5x) 3 + 9x = (13 * 7 + -5x * 7) 3 + 9x = (91 + -35x) Solving 3 + 9x = 91 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 3 + 9x + 35x = 91 + -35x + 35x Combine like terms: 9x + 35x = 44x 3 + 44x = 91 + -35x + 35x Combine like terms: -35x + 35x = 0 3 + 44x = 91 + 0 3 + 44x = 91 Add '-3' to each side of the equation. 3 + -3 + 44x = 91 + -3 Combine like terms: 3 + -3 = 0 0 + 44x = 91 + -3 44x = 91 + -3 Combine like terms: 91 + -3 = 88 44x = 88 Divide each side by '44'. x = 2 Simplifying x = 2
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