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Simplifying x + (x + 10) + (x + -8) + 2 = 100 Reorder the terms: x + (10 + x) + (x + -8) + 2 = 100 Remove parenthesis around (10 + x) x + 10 + x + (x + -8) + 2 = 100 Reorder the terms: x + 10 + x + (-8 + x) + 2 = 100 Remove parenthesis around (-8 + x) x + 10 + x + -8 + x + 2 = 100 Reorder the terms: 10 + -8 + 2 + x + x + x = 100 Combine like terms: 10 + -8 = 2 2 + 2 + x + x + x = 100 Combine like terms: 2 + 2 = 4 4 + x + x + x = 100 Combine like terms: x + x = 2x 4 + 2x + x = 100 Combine like terms: 2x + x = 3x 4 + 3x = 100 Solving 4 + 3x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x = 100 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 100 + -4 3x = 100 + -4 Combine like terms: 100 + -4 = 96 3x = 96 Divide each side by '3'. x = 32 Simplifying x = 32
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