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Simplifying (x + -15) + (2x + -8) = 31 Reorder the terms: (-15 + x) + (2x + -8) = 31 Remove parenthesis around (-15 + x) -15 + x + (2x + -8) = 31 Reorder the terms: -15 + x + (-8 + 2x) = 31 Remove parenthesis around (-8 + 2x) -15 + x + -8 + 2x = 31 Reorder the terms: -15 + -8 + x + 2x = 31 Combine like terms: -15 + -8 = -23 -23 + x + 2x = 31 Combine like terms: x + 2x = 3x -23 + 3x = 31 Solving -23 + 3x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 3x = 31 + 23 Combine like terms: -23 + 23 = 0 0 + 3x = 31 + 23 3x = 31 + 23 Combine like terms: 31 + 23 = 54 3x = 54 Divide each side by '3'. x = 18 Simplifying x = 18
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