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Simplifying 2(3x + 7) + -4x + -5 = 31 Reorder the terms: 2(7 + 3x) + -4x + -5 = 31 (7 * 2 + 3x * 2) + -4x + -5 = 31 (14 + 6x) + -4x + -5 = 31 Reorder the terms: 14 + -5 + 6x + -4x = 31 Combine like terms: 14 + -5 = 9 9 + 6x + -4x = 31 Combine like terms: 6x + -4x = 2x 9 + 2x = 31 Solving 9 + 2x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2x = 31 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 31 + -9 2x = 31 + -9 Combine like terms: 31 + -9 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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