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Simplifying (15x + -31) = (9x + 11) Reorder the terms: (-31 + 15x) = (9x + 11) Remove parenthesis around (-31 + 15x) -31 + 15x = (9x + 11) Reorder the terms: -31 + 15x = (11 + 9x) Remove parenthesis around (11 + 9x) -31 + 15x = 11 + 9x Solving -31 + 15x = 11 + 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. -31 + 15x + -9x = 11 + 9x + -9x Combine like terms: 15x + -9x = 6x -31 + 6x = 11 + 9x + -9x Combine like terms: 9x + -9x = 0 -31 + 6x = 11 + 0 -31 + 6x = 11 Add '31' to each side of the equation. -31 + 31 + 6x = 11 + 31 Combine like terms: -31 + 31 = 0 0 + 6x = 11 + 31 6x = 11 + 31 Combine like terms: 11 + 31 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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