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Simplifying -3(2 + -1x) + 2(3x + 5) = 31 (2 * -3 + -1x * -3) + 2(3x + 5) = 31 (-6 + 3x) + 2(3x + 5) = 31 Reorder the terms: -6 + 3x + 2(5 + 3x) = 31 -6 + 3x + (5 * 2 + 3x * 2) = 31 -6 + 3x + (10 + 6x) = 31 Reorder the terms: -6 + 10 + 3x + 6x = 31 Combine like terms: -6 + 10 = 4 4 + 3x + 6x = 31 Combine like terms: 3x + 6x = 9x 4 + 9x = 31 Solving 4 + 9x = 31 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 + 9x = 31 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = 31 + -4 9x = 31 + -4 Combine like terms: 31 + -4 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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