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Simplifying 3(3x + 13) = 5(x + -1) Reorder the terms: 3(13 + 3x) = 5(x + -1) (13 * 3 + 3x * 3) = 5(x + -1) (39 + 9x) = 5(x + -1) Reorder the terms: 39 + 9x = 5(-1 + x) 39 + 9x = (-1 * 5 + x * 5) 39 + 9x = (-5 + 5x) Solving 39 + 9x = -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. 39 + 9x + -5x = -5 + 5x + -5x Combine like terms: 9x + -5x = 4x 39 + 4x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 39 + 4x = -5 + 0 39 + 4x = -5 Add '-39' to each side of the equation. 39 + -39 + 4x = -5 + -39 Combine like terms: 39 + -39 = 0 0 + 4x = -5 + -39 4x = -5 + -39 Combine like terms: -5 + -39 = -44 4x = -44 Divide each side by '4'. x = -11 Simplifying x = -11
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