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Simplifying (9x + -31) = (5x + 13) Reorder the terms: (-31 + 9x) = (5x + 13) Remove parenthesis around (-31 + 9x) -31 + 9x = (5x + 13) Reorder the terms: -31 + 9x = (13 + 5x) Remove parenthesis around (13 + 5x) -31 + 9x = 13 + 5x Solving -31 + 9x = 13 + 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. -31 + 9x + -5x = 13 + 5x + -5x Combine like terms: 9x + -5x = 4x -31 + 4x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 -31 + 4x = 13 + 0 -31 + 4x = 13 Add '31' to each side of the equation. -31 + 31 + 4x = 13 + 31 Combine like terms: -31 + 31 = 0 0 + 4x = 13 + 31 4x = 13 + 31 Combine like terms: 13 + 31 = 44 4x = 44 Divide each side by '4'. x = 11 Simplifying x = 11
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