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Simplifying 3(2 + 3x) + 7(3 + -1x) = 31 (2 * 3 + 3x * 3) + 7(3 + -1x) = 31 (6 + 9x) + 7(3 + -1x) = 31 6 + 9x + (3 * 7 + -1x * 7) = 31 6 + 9x + (21 + -7x) = 31 Reorder the terms: 6 + 21 + 9x + -7x = 31 Combine like terms: 6 + 21 = 27 27 + 9x + -7x = 31 Combine like terms: 9x + -7x = 2x 27 + 2x = 31 Solving 27 + 2x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 2x = 31 + -27 Combine like terms: 27 + -27 = 0 0 + 2x = 31 + -27 2x = 31 + -27 Combine like terms: 31 + -27 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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