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Simplifying xa + xb = x(a + b) ax + bx = (a * x + b * x) ax + bx = (ax + bx) Add '-1ax' to each side of the equation. ax + -1ax + bx = ax + -1ax + bx Combine like terms: ax + -1ax = 0 0 + bx = ax + -1ax + bx bx = ax + -1ax + bx Combine like terms: ax + -1ax = 0 bx = 0 + bx bx = bx Add '-1bx' to each side of the equation. bx + -1bx = bx + -1bx Combine like terms: bx + -1bx = 0 0 = bx + -1bx Combine like terms: bx + -1bx = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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