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Simplifying (13x + -20) = (9x + 32) Reorder the terms: (-20 + 13x) = (9x + 32) Remove parenthesis around (-20 + 13x) -20 + 13x = (9x + 32) Reorder the terms: -20 + 13x = (32 + 9x) Remove parenthesis around (32 + 9x) -20 + 13x = 32 + 9x Solving -20 + 13x = 32 + 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. -20 + 13x + -9x = 32 + 9x + -9x Combine like terms: 13x + -9x = 4x -20 + 4x = 32 + 9x + -9x Combine like terms: 9x + -9x = 0 -20 + 4x = 32 + 0 -20 + 4x = 32 Add '20' to each side of the equation. -20 + 20 + 4x = 32 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = 32 + 20 4x = 32 + 20 Combine like terms: 32 + 20 = 52 4x = 52 Divide each side by '4'. x = 13 Simplifying x = 13
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