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Simplifying (6x + 9) + -1(2x + -5) = 38 Reorder the terms: (9 + 6x) + -1(2x + -5) = 38 Remove parenthesis around (9 + 6x) 9 + 6x + -1(2x + -5) = 38 Reorder the terms: 9 + 6x + -1(-5 + 2x) = 38 9 + 6x + (-5 * -1 + 2x * -1) = 38 9 + 6x + (5 + -2x) = 38 Reorder the terms: 9 + 5 + 6x + -2x = 38 Combine like terms: 9 + 5 = 14 14 + 6x + -2x = 38 Combine like terms: 6x + -2x = 4x 14 + 4x = 38 Solving 14 + 4x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 4x = 38 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = 38 + -14 4x = 38 + -14 Combine like terms: 38 + -14 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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