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Simplifying 3(3x + 13) = 5(X + -1) + 3 Reorder the terms: 3(13 + 3x) = 5(X + -1) + 3 (13 * 3 + 3x * 3) = 5(X + -1) + 3 (39 + 9x) = 5(X + -1) + 3 Reorder the terms: 39 + 9x = 5(-1 + X) + 3 39 + 9x = (-1 * 5 + X * 5) + 3 39 + 9x = (-5 + 5X) + 3 Reorder the terms: 39 + 9x = -5 + 3 + 5X Combine like terms: -5 + 3 = -2 39 + 9x = -2 + 5X Solving 39 + 9x = -2 + 5X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 9x = -2 + -39 + 5X Combine like terms: 39 + -39 = 0 0 + 9x = -2 + -39 + 5X 9x = -2 + -39 + 5X Combine like terms: -2 + -39 = -41 9x = -41 + 5X Divide each side by '9'. x = -4.555555556 + 0.5555555556X Simplifying x = -4.555555556 + 0.5555555556X
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