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Simplifying (3x + 2) + -1(9x + -1) = 39 Reorder the terms: (2 + 3x) + -1(9x + -1) = 39 Remove parenthesis around (2 + 3x) 2 + 3x + -1(9x + -1) = 39 Reorder the terms: 2 + 3x + -1(-1 + 9x) = 39 2 + 3x + (-1 * -1 + 9x * -1) = 39 2 + 3x + (1 + -9x) = 39 Reorder the terms: 2 + 1 + 3x + -9x = 39 Combine like terms: 2 + 1 = 3 3 + 3x + -9x = 39 Combine like terms: 3x + -9x = -6x 3 + -6x = 39 Solving 3 + -6x = 39 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -6x = 39 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = 39 + -3 -6x = 39 + -3 Combine like terms: 39 + -3 = 36 -6x = 36 Divide each side by '-6'. x = -6 Simplifying x = -6
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