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Simplifying 13(x + -3) = 9x + -31 Reorder the terms: 13(-3 + x) = 9x + -31 (-3 * 13 + x * 13) = 9x + -31 (-39 + 13x) = 9x + -31 Reorder the terms: -39 + 13x = -31 + 9x Solving -39 + 13x = -31 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -39 + 13x + -9x = -31 + 9x + -9x Combine like terms: 13x + -9x = 4x -39 + 4x = -31 + 9x + -9x Combine like terms: 9x + -9x = 0 -39 + 4x = -31 + 0 -39 + 4x = -31 Add '39' to each side of the equation. -39 + 39 + 4x = -31 + 39 Combine like terms: -39 + 39 = 0 0 + 4x = -31 + 39 4x = -31 + 39 Combine like terms: -31 + 39 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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