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Simplifying 2(x + -1) + 3(x + 1) = 31 Reorder the terms: 2(-1 + x) + 3(x + 1) = 31 (-1 * 2 + x * 2) + 3(x + 1) = 31 (-2 + 2x) + 3(x + 1) = 31 Reorder the terms: -2 + 2x + 3(1 + x) = 31 -2 + 2x + (1 * 3 + x * 3) = 31 -2 + 2x + (3 + 3x) = 31 Reorder the terms: -2 + 3 + 2x + 3x = 31 Combine like terms: -2 + 3 = 1 1 + 2x + 3x = 31 Combine like terms: 2x + 3x = 5x 1 + 5x = 31 Solving 1 + 5x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5x = 31 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 31 + -1 5x = 31 + -1 Combine like terms: 31 + -1 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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