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Simplifying (6x + 9) + (-2x + (-5)) = 38 Reorder the terms: (9 + 6x) + (-2x + (-5)) = 38 Remove parenthesis around (9 + 6x) 9 + 6x + (-2x + (-5)) = 38 9 + 6x + (-2x + -5) = 38 Reorder the terms: 9 + 6x + (-5 + -2x) = 38 Remove parenthesis around (-5 + -2x) 9 + 6x + -5 + -2x = 38 Reorder the terms: 9 + -5 + 6x + -2x = 38 Combine like terms: 9 + -5 = 4 4 + 6x + -2x = 38 Combine like terms: 6x + -2x = 4x 4 + 4x = 38 Solving 4 + 4x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 4x = 38 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 38 + -4 4x = 38 + -4 Combine like terms: 38 + -4 = 34 4x = 34 Divide each side by '4'. x = 8.5 Simplifying x = 8.5
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