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Simplifying 3(x + 2) + 3(x) + 3(x + -1) = 31 Reorder the terms: 3(2 + x) + 3(x) + 3(x + -1) = 31 (2 * 3 + x * 3) + 3(x) + 3(x + -1) = 31 (6 + 3x) + 3(x) + 3(x + -1) = 31 Reorder the terms: 6 + 3x + 3x + 3(-1 + x) = 31 6 + 3x + 3x + (-1 * 3 + x * 3) = 31 6 + 3x + 3x + (-3 + 3x) = 31 Reorder the terms: 6 + -3 + 3x + 3x + 3x = 31 Combine like terms: 6 + -3 = 3 3 + 3x + 3x + 3x = 31 Combine like terms: 3x + 3x = 6x 3 + 6x + 3x = 31 Combine like terms: 6x + 3x = 9x 3 + 9x = 31 Solving 3 + 9x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 9x = 31 + -3 Combine like terms: 3 + -3 = 0 0 + 9x = 31 + -3 9x = 31 + -3 Combine like terms: 31 + -3 = 28 9x = 28 Divide each side by '9'. x = 3.111111111 Simplifying x = 3.111111111
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