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Simplifying (x + -2) + (x + -1) + x = 117 Reorder the terms: (-2 + x) + (x + -1) + x = 117 Remove parenthesis around (-2 + x) -2 + x + (x + -1) + x = 117 Reorder the terms: -2 + x + (-1 + x) + x = 117 Remove parenthesis around (-1 + x) -2 + x + -1 + x + x = 117 Reorder the terms: -2 + -1 + x + x + x = 117 Combine like terms: -2 + -1 = -3 -3 + x + x + x = 117 Combine like terms: x + x = 2x -3 + 2x + x = 117 Combine like terms: 2x + x = 3x -3 + 3x = 117 Solving -3 + 3x = 117 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 + 3x = 117 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 117 + 3 3x = 117 + 3 Combine like terms: 117 + 3 = 120 3x = 120 Divide each side by '3'. x = 40 Simplifying x = 40
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