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Simplifying (6x + 9) + -2(2x + -5) = 38 Reorder the terms: (9 + 6x) + -2(2x + -5) = 38 Remove parenthesis around (9 + 6x) 9 + 6x + -2(2x + -5) = 38 Reorder the terms: 9 + 6x + -2(-5 + 2x) = 38 9 + 6x + (-5 * -2 + 2x * -2) = 38 9 + 6x + (10 + -4x) = 38 Reorder the terms: 9 + 10 + 6x + -4x = 38 Combine like terms: 9 + 10 = 19 19 + 6x + -4x = 38 Combine like terms: 6x + -4x = 2x 19 + 2x = 38 Solving 19 + 2x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 2x = 38 + -19 Combine like terms: 19 + -19 = 0 0 + 2x = 38 + -19 2x = 38 + -19 Combine like terms: 38 + -19 = 19 2x = 19 Divide each side by '2'. x = 9.5 Simplifying x = 9.5
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