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Simplifying 3(x + -1) + 4(x + 5) = 31 Reorder the terms: 3(-1 + x) + 4(x + 5) = 31 (-1 * 3 + x * 3) + 4(x + 5) = 31 (-3 + 3x) + 4(x + 5) = 31 Reorder the terms: -3 + 3x + 4(5 + x) = 31 -3 + 3x + (5 * 4 + x * 4) = 31 -3 + 3x + (20 + 4x) = 31 Reorder the terms: -3 + 20 + 3x + 4x = 31 Combine like terms: -3 + 20 = 17 17 + 3x + 4x = 31 Combine like terms: 3x + 4x = 7x 17 + 7x = 31 Solving 17 + 7x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 7x = 31 + -17 Combine like terms: 17 + -17 = 0 0 + 7x = 31 + -17 7x = 31 + -17 Combine like terms: 31 + -17 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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