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Simplifying (a + b) = (a + -1x) + (b + -1x) Remove parenthesis around (a + b) a + b = (a + -1x) + (b + -1x) Remove parenthesis around (a + -1x) a + b = a + -1x + (b + -1x) Remove parenthesis around (b + -1x) a + b = a + -1x + b + -1x Reorder the terms: a + b = a + b + -1x + -1x Combine like terms: -1x + -1x = -2x a + b = a + b + -2x Add '-1a' to each side of the equation. a + -1a + b = a + b + -1a + -2x Combine like terms: a + -1a = 0 0 + b = a + b + -1a + -2x b = a + b + -1a + -2x Reorder the terms: b = a + -1a + b + -2x Combine like terms: a + -1a = 0 b = 0 + b + -2x b = b + -2x Add '-1b' to each side of the equation. b + -1b = b + -1b + -2x Combine like terms: b + -1b = 0 0 = b + -1b + -2x Combine like terms: b + -1b = 0 0 = 0 + -2x 0 = -2x Solving 0 = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 0 + 2x = -2x + 2x Remove the zero: 2x = -2x + 2x Combine like terms: -2x + 2x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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