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